Finite linear groups having an abelian Sylow subgroup. II
نویسندگان
چکیده
منابع مشابه
On $m^{th}$-autocommutator subgroup of finite abelian groups
Let $G$ be a group and $Aut(G)$ be the group of automorphisms of $G$. For any natural number $m$, the $m^{th}$-autocommutator subgroup of $G$ is defined as: $$K_{m} (G)=langle[g,alpha_{1},ldots,alpha_{m}] |gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$ In this paper, we obtain the $m^{th}$-autocommutator subgroup of all finite abelian groups.
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متن کاملon $m^{th}$-autocommutator subgroup of finite abelian groups
let $g$ be a group and $aut(g)$ be the group of automorphisms of$g$. for any naturalnumber $m$, the $m^{th}$-autocommutator subgroup of $g$ is definedas: $$k_{m}(g)=langle[g,alpha_{1},ldots,alpha_{m}] |gin g,alpha_{1},ldots,alpha_{m}in aut(g)rangle.$$in this paper, we obtain the $m^{th}$-autocommutator subgroup ofall finite abelian groups.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1973
ISSN: 0021-8693
DOI: 10.1016/0021-8693(73)90029-x