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Fixed point ratios in actions of finite classical groups, II by Timothy C. Burness is a Mathematics article available to read on EtoBox.

What is Fixed point ratios in actions of finite classical groups, II about?

This is the second in a series of four papers on fixed point ratios in 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 record a number of preliminary results and prove the main theorem in the case where the stabiliser G ω is contained in a maximal non-subspace subgroup which lies in one of the Aschbacher families C i , where 4 i 8.

Who reads Fixed point ratios in actions of finite classical groups, II?

Author

Timothy C. Burness

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)