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math.GR2010
Persistent homology of groups
Graham Ellis, Simon A. King
We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fair…
math.GR2010★ 18 cited
The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
Simon A. King, David J. Green, Graham Ellis
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…