7 papers
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 and and the Houghton groups . Along t…
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…
A branch group with unsolvable conjugacy problem
Alex Bishop, Eduard Schesler
We prove that every finitely generated residually finite group can be embedded in a finitely generated branch group such that two elements in are conjugate in if an…
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…
Cubulation of Bruhat graphs
Alex Bishop, Elizabeth Milićević, Anne Thomas
For an arbitrary Coxeter system and any , we investigate the condition that the Bruhat graph for the interval can be cubulated, meaning roughly that this g…
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 -regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from…
-Hereditarily conjugacy separable groups and wreath products
Alex Bishop, Alexander Bishop, Michal Ferov +1
We provide a necessary and sufficient condition for the restricted wreath product to be -hereditarily conjugacy separable where is an extension-…