Metabelian thin Beauville $p$-groups

Abstract

A non-cyclic finite $p$-group $G$ is said to be thin if every normal subgroup of $G$ lies between two consecutive terms of the lower central series and $|{\gamma }_i(G):{\gamma }_{i+1}(G)|\le p^2$ for all $i\ge 1$. In this paper, we determine Beauville structures in metabelian thin $p$-groups.

8 pages

References in corpus (2)

• Simple groups admit Beauville structures
• Beauville $p$-groups of wild type and groups of maximal class