2 papers
math.CO2026
On groups with D-finite cogrowth series
Mudit Aggarwal, Murray Elder, Andrew Rechnitzer
The cogrowth series of a group with respect to a finite generating set is an important combinatorial quantity that seems very difficult to compute exactly, as evidenced by the scar…
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…