K. I. Piterman

activity

20182025

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

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

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…

Acyclic 2-dimensional complexes and Quillen's conjecture

The fundamental group of the p-subgroup complex

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

The fundamental group of the $p$ -subgroup complex