Duality between $p$-groups with three characteristic subgroups and semisimple anti-commutative algebras

S. P. Glasby, Frederico A. M. Ribeiro, Csaba Schneider

Let $p$ be an odd prime and let $G$ be a non-abelian finite $p$-group of exponent $p^2$ with three distinct characteristic subgroups, namely $1$, $G^p$, and $G$. The quotient group…