Alex Bishop

collaborators

7 papers

math.RT2026

Cubulation of Bruhat graphs

Alex Bishop, Elizabeth MiliÄeviÄ, Anne Thomas

For $(W, S)$ an arbitrary Coxeter system and any $y \in W$ , we investigate the condition that the Bruhat graph for the interval $[1, y]$ can be cubulated, meaning roughly that this g…

math.GR2026

On groups with EDT0L word problem

Alex Bishop, Murray Elder, Alex Evetts +2

We prove that the word problem for the infinite cyclic group is not EDT0L, and obtain as a corollary that a finitely generated group with EDT0L word problem must be torsion. In add…

math.GR2026

Period growth and co-context-free groups

Alex Bishop, Corentin Bodart, Letizia Issini +1

We study period growth in co-context-free groups, giving general results and looking at specific examples such as Thompson groups $T$ and $V$ and the Houghton groups $H_{m}$ . Along t…

math.GR2025

$C$ -Hereditarily conjugacy separable groups and wreath products

Alexander Bishop, Michal Ferov, Mark Pengitore

We provide a necessary and sufficient condition for the restricted wreath product $A ≀ B$ to be $C$ -hereditarily conjugacy separable where $C$ is an extension-…

math.GR2025

On the ET0L subgroup membership problem in bounded automata groups

Alex Bishop, Daniele D'Angeli, Francesco Matucci +3

We are interested in the subgroup membership problem in groups acting on rooted $d$ -regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from…

math.GT2025

Virtual Biquandle Cocycle Quiver Representations

Alexander Bishop, Jose Ceniceros, Sam Nelson

We introduce quiver representation-valued invariants of oriented virtual knots and links associated to a choice of finite virtual biquandle, abelian group, set of virtual Boltzmann…