5 papers · 1 filter
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…
Twisted commutativity and conjugacy ratio in groups
Laura Ciobanu, Gemma Crowe, Pieter Senden +1
In this paper we introduce and study the degree of twisted commutativity and the twisted conjugacy ratio of a finitely generated group . The degree of twisted commutativity $\ma…
On finite extensions of lamplighter groups
Corentin Bodart
We study a family of groups consisting of the simplest extensions of lamplighter groups. We use these groups to answer multiple open questions in combinatorial group theory, provid…
Ordering groups and the Identity Problem
Corentin Bodart, Laura Ciobanu, George Metcalfe
In this paper, the Identity Problem for certain groups, which asks if the subsemigroup generated by a given finite set of elements contains the identity element, is related to prob…
A virtually nilpotent group whose Green series is not D-finite
Corentin Bodart
We provide the first example of virtually nilpotent group, with a specific generating set, for which the Green series (sometimes called cogrowth series) is not -finite. The proo…