Finite $p$-groups and centralizers of non-cyclic abelian subgroups
نویسندگان
چکیده مقاله:
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.
منابع مشابه
finite $p$-groups and centralizers of non-cyclic abelian subgroups
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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عنوان ژورنال
دوره 43 شماره 1
صفحات 171- 192
تاریخ انتشار 2017-02-22
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