We completely calculate the $RO(G)$-graded coefficients of ordinary equivariant cohomology where $G$ is the dihedral group of order $2p$ for a prime $p>2$ both with constant and Burnside ring coefficients. The authors first proved it for $p=3$ and then the second author generalized it to arbitrary $p$. These are the first such calculations for a non-abelian group.

中文翻译：

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关于二面体等变上同调的$RO(G)$分级系数

我们完全计算了普通等变上同调的 $RO(G)$-graded 系数，其中 $G$ 是具有常数和 Burnside 环系数的素数 $p>2$ 的阶 $2p$ 的二面体群。作者首先证明了 $p=3$，然后第二作者将其推广到任意 $p$。这是对非阿贝尔群的首次此类计算。