On finite A-perfect abelian groups

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 $K(G) =< [g,alpha] gin G, alphain A >$, which is a characteristic sub...

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Bibliographic Details
Main Authors: Mohammad Mehdi Nasrabadi, Ali Gholamian
Format: Article
Language:English
Published: University of Isfahan 2012-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=764&_ob=c0e46ef10fc8cc8252147940e51d0023&fileName=full_text.pdf