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 the number and sizes of these orbits when the initial p-group is generated by at most 3 elements.
ORBITS CLASSIFYING EXTENSIONS OF PRIME POWER ORDER GROUPS / Garaialde, Ocana O.; Stanojkovski, M.. - In: INTERNATIONAL JOURNAL OF GROUP THEORY. - ISSN 2251-7650. - 13:1(2024), pp. 63-95. [10.22108/IJGT.2022.125417.1651]
ORBITS CLASSIFYING EXTENSIONS OF PRIME POWER ORDER GROUPS
Stanojkovski, M.
2024-01-01
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 the number and sizes of these orbits when the initial p-group is generated by at most 3 elements.File in questo prodotto:
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