Journal article icon

Journal article

Fixed point ratios in actions of finite classical groups, I

Abstract:

This is the first in a series of four papers on fixed point ratios in 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 xG of prime order, or (G, Ω) is one of a small number of known exceptions. Here fpr(x) denote...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1016/j.jalgebra.2006.05.024

Authors


More by this author
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:
69-79
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:16f3af02-143c-46a3-a61c-49a9f0dea93f
Local pid:
ora:8630
Deposit date:
2014-06-17

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP