18 citations · 126 across the 25 of their papers we have counts for
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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…
math.GR2010★ 6 cited
On a strong form of Oliver's p-group conjecture
David J. Green, László Héthelyi, Nadia Mazza
We introduce a strong form of Oliver's p-group conjecture and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the…
math.GR2010★ 18 cited
The computation of the cohomology rings of all groups of order 128
David J. Green, Simon A. King
We describe the computation of the mod-2 cohomology rings of all 2328 groups of order 128. One consequence is that all groups of order less than 256 satisfy the strong form of Bens…