Simultaneous conjugacy classes as combinatorial invariants of finite groups
نویسندگان
چکیده
We consider the problem of counting simultaneous conjugacy classes n-tuples in a finite group G. Let αG,n denote number n-tuples, and βG,n commuting study generating functions AG(t)=∑n≥0αG,ntn, BG(t)=∑n≥0βG,ntn, which are rational t. show that AG(t) determines is completely determined by class equation prove normalized AG(t/|G|) BG(t/|G|) invariants isoclinism families. compute exponential growth factors βG,n.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2022
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2022.2065494