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Rational representations and permutation representations of finite groups
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Bartel, Alex and Dokchitser, Tim (2016) Rational representations and permutation representations of finite groups. Mathematische Annalen, 364 (1-2). pp. 539-558. doi:10.1007/s00208-015-1223-y ISSN 0025-5831.
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Official URL: http://dx.doi.org/10.1007/s00208-015-1223-y
Abstract
We investigate the question which QQ-valued characters and characters of QQ-representations of finite groups are ZZ-linear combinations of permutation characters. This question is known to reduce to that for quasi-elementary groups, and we give a solution in that case. As one of the applications, we exhibit a family of simple groups with rational representations whose smallest multiple that is a permutation representation can be arbitrarily large.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Mathematische Annalen | ||||||||
Publisher: | Springer Verlag | ||||||||
ISSN: | 0025-5831 | ||||||||
Official Date: | February 2016 | ||||||||
Dates: |
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Volume: | 364 | ||||||||
Number: | 1-2 | ||||||||
Page Range: | pp. 539-558 | ||||||||
DOI: | 10.1007/s00208-015-1223-y | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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