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

collaborators

Showing 2024Show all

4 papers · 1 filter

math.GT2024

Connectivity of partial basis complexes of freely decomposable groups

Benjamin Brück, Kevin Ivan Piterman

We show that the complex of partial bases of the free group of rank $n$ , where vertices are seen up to conjugation, is Cohen--Macaulay of dimension $n - 1$ . This positively answers a…

math.GR2024

Spherical $p$ -group complexes arising from finite groups of Lie type

Kevin Iván Piterman

We show that the $p$ -group complex of a finite group $G$ is homotopy equivalent to a wedge of spheres of dimension at most $n$ if $G$ contains a self-centralising normal subgroup $…

math.CO2024

The common basis complex and the partial decomposition poset

Benjamin Brück, Kevin I. Piterman, Volkmar Welker

For a finite-dimensional vector space $V$ , the common basis complex of $V$ is the simplicial complex whose vertices are the proper non-zero subspaces of $V$ , and $σ$ is a simplex i…

math.CO2024

Posets arising from decompositions of objects in a monoidal category

Kevin Ivan Piterman, Volkmar Welker

Given a symmetric monoidal category $C$ with product $⊔$ , where the neutral element for the product is an initial object, we consider the poset of $⊔$ -complemented subobj…

Connectivity of partial basis complexes of freely decomposable groups

Spherical p-group complexes arising from finite groups of Lie type

The common basis complex and the partial decomposition poset

Posets arising from decompositions of objects in a monoidal category

Spherical $p$ -group complexes arising from finite groups of Lie type