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Fixed point ratios in actions of finite classical groups, III

By Timothy C. Burness

Abstract

This is the third in a series of four papers on fixed point ratios for non-subspace actions of finite classical groups. Our main result states that if G is a finite almost simple classical group and ? is a faithful transitive non-subspace G-set then either fpr(x) ~< |xG|-1/2 for all elements x?G of prime order, or (G,?) is one of a small number of known exceptions. In this paper we consider the case where G? is contained in one of the Aschbacher families ?2 or ?3

Topics: QA
Year: 2007
OAI identifier: oai:eprints.soton.ac.uk:46632
Provided by: e-Prints Soton
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