The Lyons group denoted by Ly is a Sporadic Simple Group of order 51765179004000000 = 28 37 56 7 11 31 37 67. It(Ly) has a trivial Schur Multiplier and a trivial Outer Automorphism Group. Its maximal subgroups are G2(5) of order 5859000000 and index 8835156, 3 McL:2 of order 5388768000 and index 9606125, 53 L3(5) of order 46500000 and index 1113229656, 2 A11 of order 29916800 and index 1296826875, 51+4 + :4S6 of order 9000000 and index 5751686556, 35:(2 M11) of order 3849120 and index 13448575000, 32+4:2 A5 D8 of order 699840 and index 73967162500, 67:22 of order 1474 and index 35118846000000 and 37:18 of order 666 and index 77725494000000. Its existence was suggested by Richard Lyons. Lyons characterized its order as the unique possible order of any nite simple group where the centralizer of some involution is isomorphic to the nontrivial central extension of the alternating group of degree 11 by the cyclic group of order 2. Sims proved the existence of this group and its uniqueness using permutations and machine calculations. In this dissertation, we compute the (p; q; t)-generations of the Lyons group for dis- tinct primes p, q and t which divide the order of Ly such that p < q < t. For computations, we made use of the Computer Algebra System GAP / Mathematical Sciences / M.Sc. (Mathematics)

The attachment system is activated when a threat is perceived in the environment. Attachment style differences moderate the levels of this activation. Whereas anxiously attached people are more hypervigilant to attachment-related stress, avoidant people have an ability to suppress their attachment related thoughts under stressful conditions. The aim of the present study was to investigate whether the subliminal presentation of threat and attachment figure primes interfere with the cognitive task performance of participants with different attachment styles. It was hypothesized that anxious participants would perform worse than secure and avoidant participants under both conditions of attachment-related threat and attachment figure primes. Avoidant participants were expected to perform poorly only when a threat prime is followed by an attachment figure prime. The securely attached participants were expected to perform better than the other attachment groups. University students (N = 225) filled out a questionnaire package including the measures of attachment figure names (WHOTO), attachment anxiety and avoidance (The Experiences in Close Relationships, ECR) / and they were administered computerized Signal Detection and Stroop tasks representing cognitive attentional performance in the laboratory. The results showed that attachment avoidance was a significant predictor of decreased cognitive performance, and attachment anxiety makes people vulnerable to cognitive performance decline only under certain circumstances of attachment system activation. Attachment security was identified to make individuals immune to the effects of threat or attachment figure availability priming on cognitive performance. The findings were discussed considering previous work and implications for cultural differences.

The Lyons group denoted by Ly is a Sporadic Simple Group of order 51765179004000000 = 28 37 56 7 11 31 37 67. It(Ly) has a trivial Schur Multiplier and a trivial Outer Automorphism Group. Its maximal subgroups are G2(5) of order 5859000000 and index 8835156, 3 McL:2 of order 5388768000 and index 9606125, 53 L3(5) of order 46500000 and index 1113229656, 2 A11 of order 29916800 and index 1296826875, 51+4 + :4S6 of order 9000000 and index 5751686556, 35:(2 M11) of order 3849120 and index 13448575000, 32+4:2 A5 D8 of order 699840 and index 73967162500, 67:22 of order 1474 and index 35118846000000 and 37:18 of order 666 and index 77725494000000. Its existence was suggested by Richard Lyons. Lyons characterized its order as the unique possible order of any nite simple group where the centralizer of some involution is isomorphic to the nontrivial central extension of the alternating group of degree 11 by the cyclic group of order 2. Sims proved the existence of this group and its uniqueness using permutations and machine calculations. In this dissertation, we compute the (p; q; t)-generations of the Lyons group for dis- tinct primes p, q and t which divide the order of Ly such that p < q < t. For computations, we made use of the Computer Algebra System GAP / Mathematical Sciences / M.Sc. (Mathematics)

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-11T12:32:04Z No. of bitstreams: 1 arquivototal.pdf: 604214 bytes, checksum: ba88d16062ebf0bc144fe2cd43359547 (MD5) / Made available in DSpace on 2017-08-11T12:32:05Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 604214 bytes, checksum: ba88d16062ebf0bc144fe2cd43359547 (MD5) Previous issue date: 2016-03-09 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / The connection between the theory of local cohomology and the theory of secondary representation and attached prime ideals is exposed in the work of R. Y. Sharp and I. G. Macdonald and it displayed itself as very prolific since the statement of various conditions of vanishing and non-vanishing for some local cohomology modules. In this work we show that, in some conditions, the (generalised) Matlis dual DR (M ) of a module M over a semi-local ring R is Artinian, hence representable. Under the same conditions we show that AttR (DR (M )) = Ass(M ). We also describe the set of attached primes of co-localisations of modules and of some local cohomology modules. The use for the latter is, as an example, to describe the set of attached primes of the top local cohomology module Ha dim(R)(R) as the set of prime ideals of R which satisfy the condition of Lichtenbaum–Hartshorne Vanishing Theorem. / A conexão entre a teoria de cohomologia local e a teoria de representação secundária e ideais primos anexados foi exposta nos trabalhos de R. Y. Sharp e I. G. Macdonald e mostrou-se bastante prolı́fica, uma vez que foram estabelecidas condições de anulamento e não anulamento de determinados módulos de cohomologia local. Neste trabalho, provamos que, para determinadas condições, o dual de Matlis (generalizado) de um módulo M , DR (M ), sobre um anel semi-local R, é Artiniano e, portanto, representável. Sob estas condições, mostramos que AttR DR (M ) = AssM . Além disso, descrevemos os conjuntos de primos anexados de alguns módulos de cohomologia local e módulos via co-localização. Por exemplo, mostramos que o conjunto dos ideais primos anexados do módulo de cohomologia local Ha dim(R) (R) é justamente o conjunto de ideais primos de R que satisfazem a condição do Teorema de Anulamento de Lichtenbaum–Hartshorne.

La présente thèse a été fortement influencée par deux conjectures, l'une de Gelfond et l'autre de Sarnak.En 1968, Gelfond a prouvé que la somme des chiffres modulo m est asymtotiquement équirépartie dans des progressions arithmétiques, et il a formulé trois problèmes nouveaux.Le deuxième et le troisième problèmes traitent des sommes des chiffres pour les nombres premiers et les suites polynomiales.En ce qui concerne les nombres premiers et les carrés, Mauduit et Rivat ont résolu ces problèmes en 2010 et 2009, respectivement.Drmota, Mauduit et Rivat ont réussi généraliser le résultat concernant la suite des sommes des chiffres des carrés.Ils ont démontré que chaque bloc apparaît asymptotiquement avec la même fréquence.Selon la conjecture de Sarnak, il n'y a pas de corrélation entre la fonction de Möbius et des fonctions simples.La présente thèse traite de la répartition de suites automatiques le long de sous-suites particulières ainsi que d'autres propriétés de suites automatiques.Selon l'un des résultats principaux du présent travail, toutes les suites automatiques vérifient la conjecture de Sarnak.Moyennant une approche légèrement modifiée, nous traitons également la répartition de suites automatiques le long de la suite des nombres premiers.Dans le cadre du traitement de suites automatiques générales, nous avons mis au point une nouvelle structure destinée aux automates finisdéterministes ouvrant une vision nouvelle pour les automates et/ou les suites automatiques.Nous étendons les résultat de Drmota, Mauduit et Rivat concernant les suites digitales.Cette approche peut également être considérée comme une généralisation du troisième problème de Gelfond. / The present dissertation was inspired by two conjectures, one by Gelfond and one of Sarnak.In 1968 Gelfond proved that the sum of digits modulo m is asymptotically equally distributed along arithmetic progressions.Furthermore, he stated three problems which are nowadays called Gelfond problems.The second and third questions are concerned with the sum of digits of prime numbers and polynomial subsequences.Mauduit and Rivat were able to solve these problems for primes and squares in 2010 and 2009 respectively.Drmota, Mauduit and Rivat generalized the result concerning the sequence of the sum of digits of squares.They showed that each block appears asymptotically equally frequently.Sarnak conjectured in 2010 that the Mobius function does not correlate with deterministic functions.This dissertation deals with the distribution of automatic sequences along special subsequences and other properties of automatic sequences.A main result of this thesis is that all automatic sequences satisfy the Sarnak conjecture.Through a slightly modified approach, we also deal with the distribution of automatic sequences along the subsequence of primes.In the course of the treatment of general automatic sequences, a new structure for deterministic finite automata is developed,which allows a new view for automata or automatic sequences.We extend the result of Drmota, Mauduit and Rivat to digital sequences.This is also a generalization of the third Gelfond problem.

The text of this thesis deals with techniques of parallel processing calculations. It is an analysis of the most important libraries for parallelization including libraries for parallelization on GPU graphics cards and computing speed by comparing these libraries in Visual Studio 2010 based on a simple application searching primes on three different computer hardware configurations. With OpenCL library, that achieved the best result, there are formed two applications – an improved program for searching prime numbers using the sieve of Eratosthenes and a program for calculating the integral with the trapezoidal rule.

Depuis la crise financière, la modélisation financière et la gestion des risques ont pris une place particulière dans les domaines de la finance et assurance. Cette thèse rentre dans ce cadre et aborde plus spécifiquement trois problématiques en lien avec la modélisation financière, l'évaluation et la couverture des risques. Les trois problématiques se déclinent en trois articles comme suit : "Optimal choice between CAT bond and debt to cover the risks of natural disasters". Ce document de recherche analyse le choix entre la dette non contingente et l'obligation catastrophe pour couvrir le risque de tremblements de terre. Un modèle dynamique d'optimisation stochastique avec frictions a été développé et montre sous quelles conditions il peut être avantageux pour un gouvernement d'émettre une obligation catastrophe plutôt qu'une obligation standard non contingente. "Écart de taux des obligations catastrophes, liquidité et taux d'intérêt " vise à analyser les déterminants de la liquidité des écarts de taux des obligations catastrophes en prenant en compte l'impact des taux d'intérêt. Ce projet permet d'analyser l'impact prépondérant du taux d'intérêt sur les écarts de taux des obligations catastrophes dans le contexte de taux d'intérêt durablement bas observé ces dernières années. "Pricing dynamics and solvency in insurance : capital allocation, surplus and insurance cycle". Cet article propose un modèle de tarification stochastique à plusieurs périodes basé sur la valeur des options de défaut, et qui prend en compte le cycle d'assurance afin d'examiner les interactions entre les prix, l'allocation optimale de capital et la solvabilité d'un assureur multirisque. / Since the financial crisis, financial modeling and risk management have taken on a special role in the fields of finance and insurance. This thesis is part of this context and addresses three specific issues related to financial modeling, risk assessment and risk coverage. The three issues are divided into three articles as follows: "Optimal choice between cat bond and debt to cover the risks of natural disasters ". This research paper analyzes the choice between non-contingent debt and catastrophe bonds to cover the risk of earthquakes. A dynamic stochastic optimization model with frictions has been developed and shows under which conditions it can be advantageous for a government to issue a catastrophe bond rather than a standard non-contingent bond. " Cat bond spreads, liquidity and interest rates" aims to analyze the determinants of liquidity and CAT bond spreads by taking into account the impact of interest rates. This project allows us to analyze the preponderant impact of interest rates on CAT bond spreads in the context of persistently low interest rates observed in recent years. "Pricing dynamics and solvency in insurance: capital allocation, surplus and insurance cycle". This paper proposes a multi-period stochastic pricing model based on the value of default options, and takes into account the insurance cycle, in order to examine the interactions among pricing, optimal capital allocation and solvency of a PC insurer.

La spécificité de la tradition monétaire de Henry Thornton, Ralph George Hawtrey, John Maynard Keynes et John Richard Hicks, est de considérer le taux d'intérêt comme une variable influencée par la banque centrale. Ces auteurs peuvent être rattachés à une même tradition monétaire, différente de celle de Knut Wicksell, où le taux d'intérêt est déterminé par une variable réelle: le taux de profit. Dans la tradition de Thornton, le prêt et l'emprunt renvoient une vente et un achat de titres de dette. Ces derniers prennent une forme différente selon la période étudiée. Au dix-neuvième siècle, Thornton proposait que la Banque d'Angleterre contrôle, par des variations de son taux d'escompte, le prix de la liquidité de court-terme, étant la substituabilité des traites commerciales en monnaie. Un siècle plus tard, cette influence était effective. Cependant, au XXe siècle, avec le développement des marchés financiers, d'autre canaux de transmissions de la politique monétaire sont apparus. Bien que négligée par 1 littérature, une des controverses les plus représentatives de cette époque est celle d'Hawtre Keynes et Hicks. Ils conviennent que le taux court est un phénomène monétaire. En revanche, ils ne s'accordent pas sur la nature du taux long. Les débats portent sur la théorie pionnière d Keynes de la structure par terme des taux d'intérêt, les effets d'annonces, ainsi que les limite de l'arbitrage. / The specificity of the monetary tradition of Henry Thornton, Ralph George Hawtrey, John Maynard Keynes and John Richard Hicks is to consider the interest rate as mainly determined by the monetary policy. Those authors are part of the same monetary tradition, different that Knut Wicksell for whom the interest rate is a real variable: the rate of profit. The process of borrowing and lending, in the monetary tradition analyzed in my PhD thesis, corresponds to a sale and a purchase of debts. Debts take a different form according to the period studied. ln the nineteenth century, Thornton wrote that the Bank of England should be able to manage, by varying its discount rate, the price of short-term liquidity, which is the substitution of bills againt money. ln the twentieth century, other transmission channels of monetary policy appeared wit the evolution of financial markets. Although neglected by the literature, one of the most representative controversy at that time was between Hawtrey, Keynes and Hicks. All made a theory in which the short-term rate is a monetary phenomenon. They however disagreed on the nature of the long-term rate. The debate is on Keynes's pioneering theory of the term structur of interest rates, the announcement effects, and the limits to arbitrage.

Alerting signals often serve to reduce temporal uncertainty by predicting the time of stimulus onset. The resulting response time benefits have often been explained by facilitated translation of stimulus codes into response codes on the basis of established stimulus-response (S-R) links. In paradigms of masked S-R priming alerting signals also modulate response activation processes triggered by subliminally presented prime stimuli. In the present study we tested whether facilitation of visuo-motor translation processes due to alerting signals critically depends on established S-R links. Alerting signals resulted in significantly enhanced masked priming effects for masked prime stimuli that included and that did not include established S-R links (i.e., target vs. novel primes). Yet, the alerting-priming interaction was more pronounced for target than for novel primes. These results suggest that effects of alerting signals on masked priming are especially evident when S-R links between prime and target exist. At the same time, an alerting-priming interaction also for novel primes suggests that alerting signals also facilitate stimulus-response translation processes when masked prime stimuli provide action-trigger conditions in terms of programmed S-R links.

Réalisé en cotutelle avec l'Université Paris-Diderot. / Nous présentons trois résultats en combinatoire additive, un domaine récent à la croisée de la combinatoire, l'analyse harmonique et la théorie analytique des nombres. Le thème unificateur de notre thèse est la détection de structures additives dans les ensembles arithmétiques à faible densité, avec un intérêt particulier pour les aspects quantitatifs. Notre première contribution est une estimation de densité améliorée pour le problème, initié entre autres par Bourgain, de trouver une longue progression arithmétique dans un ensemble somme triple. Notre deuxième résultat consiste en une généralisation des bornes de Sanders pour le théorème de Roth, du cas d'un ensemble dense dans les entiers à celui d'un ensemble à faible croissance additive dans un groupe abélien arbitraire. Finalement, nous étendons les meilleures bornes quantitatives connues pour le théorème de Roth dans les premiers, à tous les systèmes d'équations linéaires invariants par translation et de complexité un. / We present three results in additive combinatorics, a recent field at the interface of combinatorics, harmonic analysis and analytic number theory. The unifying theme in our thesis is the detection of additive structure in arithmetic sets of low density, with an emphasis on quantitative aspects. Our first contribution is an improved density estimate for the problem, initiated by Bourgain and others, of finding a long arithmetic progression in a triple sumset. Our second result is a generalization of Sanders' bounds for Roth's theorem from the dense setting, to the setting of small doubling in an arbitrary abelian group. Finally, we extend the best known quantitative results for Roth's theorem in the primes, to all translation-invariant systems of equations of complexity one.