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Fixed point ratios in actions of finite classical groups, IV

Abstract:

This is the final paper in a series of four 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 paper...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2007.01.012

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St John's College
Role:
Author
Publisher:
Elsevier
Series:
Fixed point ratios in actions of finite classical groups
Journal:
Journal of Algebra More from this journal
Volume:
314
Issue:
2
Pages:
749-788
Publication date:
2007-08-01
DOI:
ISSN:
0021-8693
Language:
English
Keywords:
Subjects:
UUID:
uuid:706fa5d0-18d2-4c77-9200-1916aa7acc99
Local pid:
ora:8636
Deposit date:
2014-06-17

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