11 papers
A graph-theoretical characterisation of subgroups of Thompson's group
Corentin Bodart, Daniele D'Angeli, Davide Perego +1
We prove a graph-theoretical characterisation of finitely generated subgroups of Thompson's group : a finitely generated group embeds in if and only if it admits a faithful…
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…
Finitely presented groups with transcendental spectral radius
Corentin Bodart, Denis Osin
We provide examples of groups with transcendental spectral radius: We first construct finitely presented examples, using links between decidability of the Word Problem and semi-com…
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…
Intermediate geodesic growth in virtually nilpotent groups
Corentin Bodart
We give a criterion on pairs - where is a virtually -step nilpotent group and is a finite generating set - saying whether the geodesic growth is exponential or s…