Geodesic
Hochschild cohomology of algebras of quaternion type, I:~Generalized quaternion groups
Algebra i analiz, Tome 18 (2006) no. 1, pp. 55-107.

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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. 
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A. I. Generalov. Hochschild cohomology of algebras of quaternion type, I:~Generalized quaternion groups. Algebra i analiz, Tome 18 (2006) no. 1, pp. 55-107. http://geodesic.mathdoc.fr/item/AA_2006_18_1_a2/

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