Counting conjugacy classes of cyclic subgroups for fusion systems
Counting conjugacy classes of cyclic subgroups for fusion systems
Thévenaz [Arch. Math. (Basel) 52 (1989), no. 3, 209–211] made an interesting observation that the number of conjugacy classes of cyclic subgroups in a finite group G is equal to the rank of the matrix of the numbers of double cosets in G. We give another proof of this fact and present a fusion system version of it. In particular we use finite groups realizing the fusion system ℱ as in our previous work [Arch. Math. (Basel) 94 (2010), no. 5, 405–410].
661-666
Park, Sejong
91989250-6eb7-4be1-94a3-68bcb5c0a8fc
July 2014
Park, Sejong
91989250-6eb7-4be1-94a3-68bcb5c0a8fc
Park, Sejong
(2014)
Counting conjugacy classes of cyclic subgroups for fusion systems.
Journal of Group Theory, 17 (4), .
(doi:10.1515/jgt-2013-0056).
Abstract
Thévenaz [Arch. Math. (Basel) 52 (1989), no. 3, 209–211] made an interesting observation that the number of conjugacy classes of cyclic subgroups in a finite group G is equal to the rank of the matrix of the numbers of double cosets in G. We give another proof of this fact and present a fusion system version of it. In particular we use finite groups realizing the fusion system ℱ as in our previous work [Arch. Math. (Basel) 94 (2010), no. 5, 405–410].
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e-pub ahead of print date: 18 December 2013
Published date: July 2014
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Local EPrints ID: 412220
URI: http://eprints.soton.ac.uk/id/eprint/412220
ISSN: 1433-5883
PURE UUID: 4ec1d9db-cd4a-46b8-9ba1-2bfda0db4ff4
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Date deposited: 14 Jul 2017 16:30
Last modified: 15 Mar 2024 15:16
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Sejong Park
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