Publication

Counting conjugacy classes of cyclic subgroups for fusion systems

Sejong Park
2014
Journal Articles

Abstract

Thévenaz [6] 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 [3].

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Counting conjugacy classes of cyclic subgroups for fusion systems

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