K. I. Piterman

activity

20182020

collaborators

5 papers

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…

math.AT2019

Acyclic $2$ -dimensional complexes and Quillen's conjecture

Kevin I. Piterman, Iván Sadofschi Costa, Antonio Viruel

Let $G$ be a finite group and $A_{p} (G)$ be the poset of nontrivial elementary abelian $p$ -subgroups of $G$ . Quillen conjectured that $O_{p} (G)$ is nontrivial if $\mathcal{A}…

math.GR2019

The fundamental group of the $p$ -subgroup complex

Elias Gabriel Minian, Kevin Ivan Piterman

We study the fundamental group of the $p$ -subgroup complex of a finite group $G$ . We show first that $π_{1} (A_{3} (A_{10}))$ is not a free group (here $A_{10}$ is the alternating group…

math.GR2018

A stronger reformulation of Webb's conjecture in terms of finite topological spaces