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arXiv · 1005.2472

The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay

Simon A. King·David J. Green·Graham Ellis
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Abstract

By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co_3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.

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Simon A. King, David J. Green, Graham Ellis. 2010-05-14. The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay. https://doi.org/10.2140/agt.2011.11.719

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