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Title: On the efficiency of finite groups
Author: Brookes, Melanie
Awarding Body: University of St Andrews
Current Institution: University of St Andrews
Date of Award: 1996
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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.
Supervisor: Robertson, E. F. Sponsor: Carnegie Trust for the Universities of Scotland
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA171.B8 ; Group theory