Remark on subgroup intersection graph of finite abelian groups
نویسندگان
چکیده
منابع مشابه
subgroup intersection graph of finite abelian groups
let $g$ be a finite group with the identity $e$. the subgroup intersection graph $gamma_{si}(g)$ of $g$ is the graph with vertex set $v(gamma_{si}(g)) = g-e$ and two distinct vertices $x$ and $y$ are adjacent in $gamma_{si}(g)$ if and only if $|leftlangle xrightrangle capleftlangle yrightrangle|>1$, where $leftlangle xrightrangle $ is the cyclic subgroup of $g$ generated by $xin g$. in th...
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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: Open Mathematics
سال: 2020
ISSN: 2391-5455
DOI: 10.1515/math-2020-0066