K. I. Piterman

activity

20182026

most citedSome results on Quillen's Conjecture via equivalent-poset techniques

2 citations · 2 across the 6 of their papers we have counts for

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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…

math.GR2020

An approach to Quillen's conjecture via centralizers of simple groups

Kevin Ivan Piterman

We show that, for any given subgroup $H$ of a finite group $G$ , the Quillen poset $A_{p} (G)$ of nontrivial elementary abelian $p$ -subgroups, is obtained from $\mathcal{A}_p…