On the efficiency of finite groups

dc.contributor.advisor	Robertson, E. F.
dc.contributor.author	Brookes, Melanie
dc.coverage.spatial	143 p.	en_US
dc.date.accessioned	2018-06-04T08:21:58Z
dc.date.available	2018-06-04T08:21:58Z
dc.date.issued	1996
dc.identifier.uri	https://hdl.handle.net/10023/13682
dc.description.abstract	In Chapter 2 of this thesis we look at methods for finding efficient presentations of the transitive permutation groups of degree ≤ 12. Chapter 3 gives efficient presentations for certain direct products of groups including PSL(2, P)2 SL(2, p) X SL(2, 8), PSL(2, p) x C2, for prime p ≥ 5 and PSL(2, 25)3. Chapter 4 introduces a new class of inefficient groups and Chapter 5 gives a brief survey of some of the open problems relating to the efficiency of finite groups.	en_US
dc.language.iso	en	en_US
dc.publisher	University of St Andrews	en
dc.subject.lcc	QA171.B8
dc.subject.lcsh	Group theory	en
dc.title	On the efficiency of finite groups	en_US
dc.type	Thesis	en_US
dc.contributor.sponsor	Carnegie Trust for the Universities of Scotland	en_US
dc.type.qualificationlevel	Doctoral	en_US
dc.type.qualificationname	PhD Doctor of Philosophy	en_US
dc.publisher.institution	The University of St Andrews	en_US