Simple groups, fixed point ratios and applications

2017/07/12 by Burness, Timothy C. · 2 citations
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1707.03564

Abstract

The study of fixed point ratios is a classical topic in permutation group theory, with a long history stretching back to the origins of the subject in the 19th century. Fixed point ratios arise naturally in many different contexts, finding a wide range of applications. In this survey article we focus on fixed point ratios for simple groups of Lie type, highlighting some of the main results, applications and related problems.

Cited by

• The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,q)
• The Saxl hypergraph of a permutation group

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