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arXiv · 2007.00344

Orbits classifying extensions of prime power order groups

Oihana Garaialde Ocaña·Mima Stanojkovski
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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.

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Oihana Garaialde Ocaña, Mima Stanojkovski. 2020-07-01. Orbits classifying extensions of prime power order groups. https://doi.org/10.22108/ijgt.2022.125417.1651

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