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Cohomology of uniserial p-adic space groups with cyclic point group. (arXiv:1706.06753v1 [math.AT])
来源于:arXiv
Let $p$ be a fixed prime number and let $R$ denote a uniserial $p$-adic space
group of dimension $d_x=(p-1)p^{x-1}$ and with cyclic point group of order
$p^x$. In this short note we prove that all the quotients of $R$ of size bigger
than or equal to $p^{d_x+x}$ have isomorphic mod $p$ cohomology groups. In
particular, we show that the cohomology groups of sufficiently large quotients
of the unique maximal class pro-$p$ group are isomorphic as $\F_p$-modules. 查看全文>>