on finite a-perfect abelian groups
نویسندگان
چکیده
let $g$ be a group and $a=aut(g)$ be the group of automorphisms of $g$. then the element $[g,alpha]=g^{-1}alpha(g)$ is an autocommutator of $gin g$ and $alphain a$. also, the autocommutator subgroup of g is defined to be $k(g)=langle[g,alpha]|gin g, alphain arangle$, which is a characteristic subgroup of $g$ containing the derived subgroup $g'$ of $g$. a group is defined as a-perfect, if it equals its own autocommutator subgroup. the present research is aimed at classifying finite abelian groups which are a-perfect.
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 1
شماره 3 2012
میزبانی شده توسط پلتفرم ابری doprax.com
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