4 papers · 1 filter
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…