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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
74/2020

Orbits classifying extensions of prime power order groups

Oihana Garaialde Ocaña and Mima Stanojkovski

Abstract

The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We study these orbits in the case of extensions of a finite abelian $p$-group by a cyclic factor of order $p$. As an application, we compute number and sizes of these orbits when the initial $p$-group is generated by at most $3$ elements.

Received:
02.07.20
Published:
02.07.20
MSC Codes:
20D15, 20E22, 20J05, 20J06
Keywords:
cohomology of finite p-groups, group extensions, strong isomorphism, orbit sizes

Related publications

inJournal
2024 Journal Open Access
Oihana Garaialde Ocaña and Mima Stanojkovski

Orbits classifying extensions of prime power order groups

In: International journal of group theory, 13 (2024) 1