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

arXiv:1005.2472 · doi:10.2140/agt.2011.11.719

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.

12 pages; writing style now more concise