We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy class is trivial or fixed; obtaining a full description in the case in which for each prime divisor p of the order of the group there exists a non-central conjugacy class of p-power size.
Conjugacy class sizes of certain direct products / C. Casolo; E. M. Tombari. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - STAMPA. - 85:(2012), pp. 217-231. [10.1017/S0004972711002735]
Conjugacy class sizes of certain direct products
CASOLO, CARLO;
2012
Abstract
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy class is trivial or fixed; obtaining a full description in the case in which for each prime divisor p of the order of the group there exists a non-central conjugacy class of p-power size.
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