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Fixed point ratios in actions of finite classical groups, II

Abstract:

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)≲|xG|−1/2 for all elements x ∈ G of prime order, or (G, Ω) is one of a small number of known exceptions. In this pap...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2006.05.025

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St John's College
Role:
Author
Engineering and Physical Sciences Research Council More from this funder
Publisher:
Elsevier Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
309
Issue:
1
Pages:
80-138
Series:
Fixed point ratios in actions of finite classical groups
Publication date:
2007-03-01
DOI:
ISSN:
0021-8693
Language:
English
Keywords:
Subjects:
UUID:
uuid:8ff96773-9aef-4024-b59b-7c823aa141d7
Local pid:
ora:8634
Deposit date:
2014-06-17

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