Counting conjugacy classes of cyclic subgroups for fusion systems
نویسندگان
چکیده
منابع مشابه
Counting Conjugacy Classes of Cyclic Subgroups for Fusion Systems
We give another proof of an observation of Thévenaz [4] and present a fusion system version of it. Namely, for a saturated fusion system F on a finite p-group S, we show that the number of the F-conjugacy classes of cyclic subgroups of S is equal to the rank of certain square matrices of numbers of orbits, coming from characteristic bisets, the characteristic idempotent and finite groups realiz...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2014
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt-2013-0056