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arXiv · 1707.03564

Simple groups, fixed point ratios and applications

Timothy C. Burness
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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.

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Timothy C. Burness. 2017-07-12. Simple groups, fixed point ratios and applications. https://arxiv.org/abs/1707.03564

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