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On the efficiency of finite groups

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MelanieBrookesPhDThesis.pdf (16.54Mb)
Date
1996
Author
Brookes, Melanie
Supervisor
Robertson, E. F.
Funder
Carnegie Trust for the Universities of Scotland
Metadata
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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.
Type
Thesis, PhD Doctor of Philosophy
Collections
  • Mathematics & Statistics Theses
URI
http://hdl.handle.net/10023/13682

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