HOCHSCHILD COHOMOLOGY OF ALGEBRAS OF QUATERNION TYPE, I: GENERALIZED QUATERNION GROUPS

摘要

In terms of generators and defining relations, a description is given of the Hochschild cohomology algebra for one of the series of local algebras of quaternion type. As a corollary, the Hochschild cohomology algebra is described for the group algebras of generalized quaternion groups over algebraically closed fields of characteristic 2.