On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two

Alexander Ivanov; Guodong Zhou; Sergei O. Ivanov; Yury Volkov

arxiv: 1407.4341 · v1 · pith:FTFE6XE3new · submitted 2014-07-16 · 🧮 math.KT · math.RA

On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two

Alexander Ivanov , Sergei O. Ivanov , Yury Volkov , Guodong Zhou This is my paper

classification 🧮 math.KT math.RA

keywords groupalgebracharacteristiccohomologyhochschildorderquaternionring

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Let $k$ be an algebraically closed field of characteristic two and let $Q_8$ be the quaternion group of order $8$. We determine the Gerstenhaber Lie algebra structure and the Batalin-Vilkovisky structure on the Hochschild cohomology ring of the group algebra $kQ_8$.

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On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two

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