2 citations · 4 across the 5 of their papers we have counts for
6 papers
The Bieri-Neumann-Strebel Invariant of the Pure Symmetric Automorphisms of a Right-Angled Artin Group
Nic Koban, Adam Piggott
We compute the BNS-invariant for the pure symmetric automorphism groups of right-angled Artin groups. We use this calculation to show that the pure symmetric automorphism group of…
The BNS-invariant for the pure braid groups
Nic Koban, Jon McCammond, John Meier
In 1987 Bieri, Neumann and Strebel introduced a geometric invariant for discrete groups. In this article we compute and explicitly describe the BNS-invariant for the pure braid gro…
The Geometric Invariants of Group Extensions
Nic Koban, Peter Wong
In this paper, we compute the Σ^n(G) and Ω^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups wit…
The Geometric Invariants of Group Extensions Part II: Split Extensions
Nic Koban, Peter Wong
We compute the Ω^1(G) invariant when 1 {\to} H {\to} G {\to} K {\to} 1 is a split short exact sequence. We use this result to compute the invariant for pure and full braid groups o…
The Geometric Invariants of Group Extensions Part I: Finite Extensions
Nic Koban, Peter Wong
In this note, we compute the Σ^1(G) invariant when 1 {\to} H {\to} G {\to} K {\to} 1 is a short exact sequence of finitely generated groups with K finite. As an application, we con…
A relationship between twisted conjugacy classes and the geometric invariants
Nic Koban, Peter Wong
A group is said to have the property if every automorphism has an infinite number of -twisted conjugacy classes. Recent work of Gonçalves and…