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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
81

On subnormal subgroups in factorized groups

Oberholzer, Ria M 04 1900 (has links)
Thesis (MSc) -- Stellenbosch University, 2004. / ENGLISH ABSTRACT: In this thesis we give a survey of research done on a problem on subnormal subgroups in factorized groups G = AB, where A and B are two subgroups of G with H a subgroup of A n B which is subnormal in both A and B. It is of interest to know whether or not such a subgroup H will also be subnormal in G. During the past twenty five to thirty years some positive results were obtained in the case where G is a finite group. This was mainly due to work done by Maier and Wielandt, with results by Sidki and Casolo following shortly afterwards. Counterexamples in the case of infinite groups seemed to be extremely hard to construct. For the infinite group case, some positive results were obtained through contributions by amongst others Stonehewer, Franciosi, de Giovanni and Sysak. Most recently some alternative proofs were given by Fransman. / AFRIKAANSE OPSOMMING: In hierdie tesis poog ons om 'n oorsig te gee van navorsing uitgevoer oor 'n probleem rakende subnormale ondergroepe van 'n groep G = AB wat uitgedruk kan word as 'n produk van twee ondergroepe A en B. Daar word gepoog om te bepaal vir watter klasse van groepe dit volg dat as die ondergroep H van A se deursnede met B subnormaal is in beide A en B, sal dit impliseer dat H ook subnormaal in die groep G sal wees. Gedurende die afgelope vyf-en-twintig na dertig jaar is positiewe resultate bewys VIr eindige sodanige groepe deur veralouteurs soos Maier en Wielandt, gevolg deur Sidki en Casolo. Dit blyk dat dit nie maklik is om teenvoorbeelde te vind vir die oneindige geval nie. Daar is wel positiewe resultate gelewer vanweë bydraes deur onder andere Stonehewer, Franciosi, de Giovanni en Sysak. Meer onlangs is ook alternatiewe bewyse gegee deur Fransman.
82

The maximal subgroups of the sporadic groups Th, Fi←2←4 and Fi'←2←4 and other topics

Linton, Stephen Alexander January 1989 (has links)
No description available.
83

Extended algebras in conformal field theory

Watts, Gerard Marcel Tannerie January 1990 (has links)
No description available.
84

The subgroup separability of some amalgamated free products

Niblo, G. A. January 1988 (has links)
No description available.
85

Combinatorial formulas, invariants and structures associated with primitive permutation representations of PSL(2,q) and PGL(2,q)

Kamuti, Ireri Nthiga January 1992 (has links)
No description available.
86

Topics in products of nilpotent groups

Smith, Jeremy Francis January 1998 (has links)
No description available.
87

A class of A-groups

Makarfi, U. M. January 1985 (has links)
No description available.
88

Algorithms for computing in finite groups

Bamblett, Jane Carswell January 1994 (has links)
No description available.
89

Ends of permutation groups and some centrality properties of permutational wreath products

Cernes, John January 1996 (has links)
No description available.
90

Some topics in group theory

Cartwright, M. January 1984 (has links)
No description available.

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