2 citations · 2 across the 1 of their papers we have counts for
5 papers · 1 filter
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…
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…
An approach to Quillen's conjecture via centralizers of simple groups
Kevin Ivan Piterman
We show that, for any given subgroup of a finite group , the Quillen poset of nontrivial elementary abelian -subgroups, is obtained from $\mathcal{A}_p…
The fundamental group of the -subgroup complex
Elias Gabriel Minian, Kevin Ivan Piterman
We study the fundamental group of the -subgroup complex of a finite group . We show first that is not a free group (here is the alternating group…
A stronger reformulation of Webb's conjecture in terms of finite topological spaces
Kevin Ivan Piterman
We investigate a stronger formulation of Webb's conjecture on the contractibilty of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original…