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math.GR2022★ 2 cited
Some results on Quillen's Conjecture via equivalent-poset techniques
Kevin I. Piterman, Stephen D. Smith
We extend the Main Theorem of Aschbacher and Smith on Quillen's Conjecture from to the remaining odd primes . In the process, we develop further combinatorial and ho…
math.GR2020
Eliminating components in Quillen's Conjecture
Kevin I. Piterman, Stephen D. Smith
We generalize an earlier result of Segev, which shows that {\em some\/} component in a minimal counterexample to Quillen's conjecture must admit an outer automorphism. We show in f…