New Examples of Mixed Beauville Groups

TL;DR

This paper extends the construction of mixed Beauville groups, providing numerous new examples from infinite families of characteristically simple groups, thereby enriching the understanding of these mathematical structures.

Contribution

It generalizes a previous construction of mixed Beauville groups and introduces many new examples from infinite families of groups.

Findings

Multiple new infinite families of mixed Beauville groups identified.

Generalization of previous construction method for mixed Beauville groups.

Provides a broad set of examples expanding the known landscape.

Abstract

We generalise a construction of mixed Beauville groups first given by Bauer, Catanese and Grunewald. We go on to give several examples of infinite families of characteristically simple groups that satisfy the hypotheses of our theorem and thus provide a wealth of new examples of mixed Beauville groups.