An infinite family of 2-groups with mixed Beauville structures

Nathan Barker, Nigel Boston, Norbert Peyerimhoff +1

We construct an infinite family of triples $(G_k,H_k,T_k)$, where $G_k$ are 2-groups of increasing order, $H_k$ are index-2 subgroups of $G_k$, and $T_k$ are pairs of generators of…