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Omnipotence of surface groupsBajpai, Jitendra. January 2007 (has links)
Roughly speaking, a group G is omnipotent if orders of finitely many elements can be controlled independently in some finite quotients of G. We proved that pi1(S) is omnipotent when S is a surface other than P2,T2 or K2 . This generalizes the fact, previously known, that free groups are omnipotent. The proofs primarily utilize geometric techniques involving graphs of spaces with the aim of retracting certain spaces onto graphs. / Approximativement, on peut dire qu'un groupe G est omnipotent si les ordresquantité d'élements d'une quantite finie d'elements peuvent etre controles independamment dans unquotient fini de Nous avons prouve que 7Ti(5) est omnipotent quand S estune surface autre que P2, T2 ou K2. Cela generalise le fait, deja connu, que lesgroupes libres sont omnipotents. La preuve utilise principalement des techniquesgeometriques impliquant des graphiques d'espaces ayant pour but de retractercertains espaces en graphiques.
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An extension of coset enumeration.Campbell, Harvey January 1971 (has links)
No description available.
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Minimal generating pairs for permutation groupsConder, Marston D. E. January 1980 (has links)
In this thesis we consider two-element generation of certain permutation groups. Interest is focussed mainly on the finite alternating and symmetric groups. Specifically, we prove that if k is any integer greater than six, then all but finitely many of the alternating groups A<sub>n</sub> can be generated by elements x, y which satisfy x² = y³ = (xy)<sup>k</sup> = 1 and further, if k is even then the same is true of (all but finitely many of) the symmetric groups s<sub>n</sub>. The case k = 7 is of particular importance. Any finite group which can be generated by elements x, y satisfying x² = y³ = (xy)⁷ = 1 is called a Hurwitzgroup, and gives rise to a compact Riemann surface of which it is a maximal automorphism group. The bulk of the thesis is devoted to showing that all but 64 of the alternating groups are Hurwitz. Also we give a classification of all Hurwitz groups of order less than one million. An appendix deals with two-element generation of the group associated with the Hungarian 'magic' colour-cube.
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On Redfield's enumeration methods : application of group theory to combinatoricsHolton, D. A. (Derek Allan) January 1970 (has links)
No description available.
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Homogeneous polynomial tensors for double point groupsDesmier, Paul Edmond. January 1978 (has links)
No description available.
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Local indicability and relative presentations of groupsFredericks, Julia D. 04 May 2000 (has links)
Graduation date: 2000
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The development of the boson calculus for the orthogonal and symplectic groups / by M.A. LoheLohe, Max A. January 1974 (has links)
158 p. ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Mathematical Physics, 1974
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On a solution of the U(N) - O(N) state labelling problem, for two-rowed representation.Jarvis, Peter David. January 1974 (has links) (PDF)
Thesis (M.Sc.) -- University of Adelaide, Department of Mathematical Physics, 1975.
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On the group of sign (0, 3 ; 2, 4, [infinity] and the functions belonging to itYoung, John Wesley, January 1900 (has links)
Thesis (Ph. D.)--Cornell University, 1904. / Cover title. Reprinted from the Transactions of the American mathematical society, v. 5, no. 1, January, 1904. On t.p. the word "infinity" is represented by the infinity symbol.
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Inleiding tot de theorie van Galois en de theorie der substitutiegroepenCoelingh, Derk, January 1900 (has links)
Proefschrift--Amsterdam.
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