特征为2的八阶四元数群的Hochschild上同调环
On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two
摘要：
设$k$是特征为2的代数闭域，$Q_8$是$8$阶四元数群.确定了群代数$kQ_8$的Hochschild上同调环上的Gerstenhaber李代数结构和Batalin-Vilkovisky结构.
英文摘要：
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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