Comptes rendus de l’Acade'mie bulgare des Sciences, Vol 71, No4, pp.453-459

Conjugacy Class Sizes and n-th Commutativity Degrees of Some Finite Groups

Kayvan Moradipour

ABSTRACT

Let G be a nonabelian metacyclic p ‑group where p is an odd prime number. In this paper, we obtain the size of centralizers and conjugacy classes of G . As application, we find explicit formulas for the n ‑th commutativity degree of the group G .

Key words: centralizer, commutativity degree, metacyclic group

Topic: MATHEMATICS