Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodicity in the cohomology of finite general linear groups via
  q-divided powers   We show that $\bigoplus_{n \ge 0} {\mathrm H}^t({\bf GL}_n({\bf F}_q), {\bf
F}_\ell)$ canonically admits the structure of a module over the $q$-divided
power algebra (assuming $q$ is invertible in ${\bf F}_{\ell}$), and that, as
such, it is free and (for $q \neq 2$) generated in degrees $\le t$. As a
corollary, we show that the cohomology of a finitely generated ${\bf
VI}$-module in non-describing characteristic is eventually periodic in $n$. We
apply this to obtain a new result on the cohomology of unipotent Specht
modules.

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph