William Murphy

most citedThe nonvanishing first Hochschild cohomology of twisted finite simple group algebras

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.GR2022★ 1 cited

The nonvanishing first Hochschild cohomology of twisted finite simple group algebras

William Murphy

Let $G$ be a finite simple group and $k$ be an algebraically closed field of prime characteristic dividing the order of $G$ . We show that for all $2$ -cocycles $α\in Z^2(G;k^\times)…

math.RT2021

The Lie algebra structure of the $H H^{1}$ of the blocks of the sporadic Mathieu groups

William Murphy

Let $G$ be a sporadic Mathieu group and $k$ an algebraically closed field of prime characteristic $p$ , dividing the order of $G$ . In this paper we describe some of the Lie algebra…

The nonvanishing first Hochschild cohomology of twisted finite simple group algebras

The Lie algebra structure of the HH1 of the blocks of the sporadic Mathieu groups

The Lie algebra structure of the $H H^{1}$ of the blocks of the sporadic Mathieu groups