5 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…
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…