the automorphism group for $p$-central $p$-groups
نویسندگان
چکیده
a $p$-group $g$ is $p$-central if $g^{p}le z(g)$, and $g$ is $p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,yin g$. we prove that for $g$ a finite $p^{2}$-abelian $p$-central $p$-group, excluding certain cases, the order of $g$ divides the order of $text{aut}(g)$.
منابع مشابه
the automorphism group for p-central p-groups
a $p$-group $g$ is $p$-central if $g^{p}le z(g)$, and $g$ is $p^{2}$-abelian if $(xy)^{p^{2}}=x^{p^{2}}y^{p^{2}}$ for all $x,yin g$. we prove that for $g$ a finite $p^{2}$-abelian $p$-central $p$-group, excluding certain cases, the order of $g$ divides the order of $text{aut}(g)$.
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عنوان ژورنال:
international journal of group theoryجلد ۱، شماره ۲، صفحات ۵۹-۷۱
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