For every finite group G and prime p with trivial largest normal p-subgroup, the poset of nontrivial elementary abelian p-subgroups of G has nonzero augmented reduced rational homology.
For every finite group G and prime p with trivial largest normal p-subgroup, the poset of nontrivial elementary abelian p-subgroups of G has nonzero augmented reduced rational homology.
For every finite group G and prime p with trivial largest normal p-subgroup, the poset of nontrivial elementary abelian p-subgroups of G has nonzero augmented reduced rational homology.
If correct, establishes the stronger rational-homology form of Quillen’s conjecture for every finite group and prime.
Does trivial p-core force nonzero rational homology in Quillen’s subgroup poset?
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OpenAI reports the rational-homology form of Quillen’s conjecture
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