(Strong) isomorphism of p-groups and orbit counting

Abstract: The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We will look at these orbits in the case of extensions of a finite abelian p-group by a cyclic factor of order p. As an application, we will compute number and sizes of these orbits when the initial p-group is generated by at most 3 elements. This is joint work with Oihana Garaialde Ocaña.

group theoryrings and algebras

Audience: researchers in the topic

Al@Bicocca take-away