Quillen's conjecture in rational homology
What the paper claims, in its own words
Proves the rational-homology form of Quillen's conjecture for every finite group and every prime. If the largest normal p-subgroup of G is trivial, the poset of nontrivial elementary abelian p-subgroups has nonzero augmented reduced rational homology and is therefore not contractible.
The plain-language explainer for this entry is still coming.
The original paper
- Rational homology and Quillen's conjecture (PDF, opens in a new tab) September 24, 2026