Finite $p$-groups and centralizers of non-cyclic abelian subgroups
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Abstract:
A $p$-group $G$ is called a $mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $Hnleq Z(G)$. In this paper, we give a complete classification of finite $mathcal{CAC}$-$p$-groups.
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Journal title
volume 43 issue 1
pages 171- 192
publication date 2017-02-22
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