Characterizations of the conjugacy of Sylow 𝑝-subgroups of CC-groups

Abstract

A group G G is said to be a CC-group (group with Černikov conjugacy classes) if G / C G ( x G ) G/{C_G}({x^G}) is a Černikov group for all x x in G G . In this paper we show the characterization of the conjugacy of the Sylow p p -subgroups of such a group G G in terms of the number of them and of the inner structure of G G .