finite $p$-groups and centralizers of non-cyclic abelian subgroups

نویسندگان

j. wang

department of mathematics‎, ‎shanghai university‎, ‎shanghai‎ ‎200444‎, ‎p‎.‎r‎. ‎china. x. guo

department of mathematics‎, ‎shanghai university‎, ‎shanghai‎ ‎200444‎, ‎p‎.‎r‎. ‎china.

چکیده

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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Finite $p$-groups and centralizers of non-cyclic abelian subgroups

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۱۷۱-۱۹۲

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