finite $2$-groups of class $2$ with a specific automorphism group
نویسندگان
چکیده
in this paper we determine all finite $2$-groups of class $2$ in which every automorphism of order $2$ leaving the frattini subgroup elementwise fixed is inner.
منابع مشابه
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متن کاملon the nilpotency class of the automorphism group of some finite p-groups
let $g$ be a $p$-group of order $p^n$ and $phi$=$phi(g)$ be the frattini subgroup of $g$. it is shown that the nilpotency class of $autf(g)$, the group of all automorphisms of $g$ centralizing $g/ fr(g)$, takes the maximum value $n-2$ if and only if $g$ is of maximal class. we also determine the nilpotency class of $autf(g)$ when $g$ is a finite abelian $p$-group.
متن کاملon the nilpotency class of the automorphism group of some finite p-groups
let $g$ be a $p$-group of order $p^n$ and $phi$=$phi(g)$ be the frattini subgroup of $g$. it is shown that the nilpotency class of $autf(g)$, the group of all automorphisms of $g$ centralizing $g/ fr(g)$, takes the maximum value $n-2$ if and only if $g$ is of maximal class. we also determine the nilpotency class of $autf(g)$ when $g$ is a finite abelian $p$-group.
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عنوان ژورنال:
international journal of group theoryجلد ۶، شماره ۳، صفحات ۱-۴
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