Lifting automorphisms of subgroups of direct products of cyclic $p$-groups

Let $\Gamma$ be a finite group. A subgroup $H$ of $\Gamma$ is called ``fully liftable" in $\Gamma$ if every automorphism of $H$ is the restriction of an automorphism of $\Gamma$. Let $G=C_{p^{k_1}}\times C_{p^{k_2}}$, where $1\le k_1\le k_2$ and $p$ is prime. Using information about the subgroup str...

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Bibliografiske detaljer

Hovedforfatter:	Jill Dietz
Format:	Artigo
Sprog:	Inglês
Udgivet:	University of Isfahan 2024-11-01
Serier:	International Journal of Group Theory
Fag:	finite $p$-groups automorphisms characteristic subgroups
Online adgang:	https://ijgt.ui.ac.ir/article_28782_fbffada99ad522b1e39bc812b8c844d3.pdf
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