The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
classification
🧮 math.GR
keywords
cohen-macaulaycohomologyconwaygroupmod-2ringthirdabelian
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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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