Fixed point ratios in actions of finite classical groups, III

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)

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 Ω is a faithful transitive non-subspace G-set then either fpr(x ) < |x^G|^{−1/2} for all elements x ∈ G of prime order, or (G, Ω) is one of a small number of known exceptions. In this paper we consider the case where Gω is contained in one of the Aschbacher families C_2 or C_3.
Original languageEnglish
Pages (from-to)693-748
Number of pages56
JournalJournal of Algebra
Volume314
DOIs
Publication statusPublished - 2007

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