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arXiv · 1403.5493

The cohomology of the sporadic group $J_2$ over $\mathbb{F}_3$

Antonio Díaz Ramos·Oihana Garaialde Ocaña
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Abstract

We describe the cohomology ring $H^*(J_2;\mathbb{F}_3)$ both as subring of $H^*(3^{1+2}_+;\mathbb{F}_3)$ and with an abstract presentation. We also give its Poincaré series. We use as tool a spectral sequence for the strongly closed $3$-subgroup of $J_2$. This method might be used to compute the cohomology of any finite simple group with a strongly closed $p$-subgroup.

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Antonio Díaz Ramos, Oihana Garaialde Ocaña. 2014-03-21. The cohomology of the sporadic group $J_2$ over $\mathbb{F}_3$. https://arxiv.org/abs/1403.5493

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