G-Groups and Biuniform Abelian Normal Subgroups

We prove a weak form of the Krull-Schmidt Theorem concerning the behavior of direct-product decompositions of $G$-groups, biuniform abelian $G$-groups, $G$-semidirect products and the $G$-set $Hom(H,A)$. Here $G$ and $A$ are groups and $H$ is a $G$-group. Our main result is the following. Let $P$ be...

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Bibliographic Details
Main Authors: María José Arroyo Paniagua, Alberto Facchini
Format: Article
Language:English
Published: Aracne 2016-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/2/M.J.%20Arroyo%20Paniagua,%20A.%20Facchini%20-%20G-groups%20and%20biuniform%20abelian%20normal%20subgroups.pdf

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