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

Otal, J.; Peña, J. M.

doi:10.1090/S0002-9939-1989-0961407-2

Characterizations of the conjugacy of Sylow $p$-subgroups of CC-groups
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by J. Otal and J. M. Peña PDF

Proc. Amer. Math. Soc. 106 (1989), 605-610 Request permission

Abstract:

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

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