论文标题
从限制到Sylow子组中恢复同一个Mackey函数
Recovering a cohomological Mackey Functor from its restriction to Sylow subgroups
论文作者
论文摘要
我们解释了如何从$ \ useverline {m} $的限制中恢复共同体G-mackey函数$ \下划线{m} $的最高级别。 作为一个应用程序,我们计算了Mackey函数值的G-Equivariant同源性组,该点具有恒定$ \ mathbb {z} $ - 系数 - G具有奇数Primes p <q的订单PQ时。我们还指出了$ g = a_4 $的计算如何进行。
We explain how to recover the top level of a cohomological G-Mackey functor $\underline{M}$ from the restriction of $\underline{M}$ to each of the Sylow subgroups of G. As an application, we compute the Mackey functor valued G-equivariant homology groups of a point with constant $\mathbb{Z}$-coefficients when G has order pq for odd primes p<q. We also indicate how the calculation goes for $G=A_4$.