On the efficiency of finite groups

Group theory;

Brookes, Melanie ; Robertson, E. F. ; Robertson, E. F.

University:University of St Andrews

Department:Mathematics & Statistics (School of)

关键词: Group theory;   

Others  :  https://research-repository.st-andrews.ac.uk/bitstream/handle/10023/13682/MelanieBrookesPhDThesis.pdf?sequence=2&isAllowed=y

来源: DR-NTU

【 摘 要 】

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.