26 citations · 75 across the 27 of their papers we have counts for
6 papers · 1 filter
Sofic groups: graph products and graphs of groups
Laura Ciobanu, Derek F. Holt, Sarah Rees
We prove that graph products of sofic groups are sofic, as are graphs of groups for which vertex groups are sofic and edge groups are amenable.
Classes of Groups Generalizing a Theorem of Benjamin Baumslag
Laura Ciobanu, Ben Fine, Gerhard Rosenberger
In [BB] Benjamin Baumslag proved that being fully residually free is equivalent to being residually free and commutative transitive (CT). Gaglione and Spellman [GS] and Remeslennik…
The Surface Group Conjecture: Cyclically Pinched and Conjugacy Pinched One-Relator Groups
Laura Ciobanu, Ben Fine, Gerhard Rosenberger
The general {\bf surface group conjecture} asks whether a one-relator group where every subgroup of finite index is again one-relator and every subgroup of infinite index is free (…
Conjugacy growth series and languages in groups
Laura Ciobanu, Susan Hermiller
In this paper we introduce the geodesic conjugacy language and geodesic conjugacy growth series for a finitely generated group. We study the effects of various group constructions…
Geodesic growth in right-angled and even Coxeter groups
Yago Antolín, Laura Ciobanu
The objective of this paper is to detect which combinatorial properties of a regular graph can completely determine the geodesic growth of the right-angled Coxeter or Artin group t…
Rapid decay and Baum-Connes for large type Artin groups
Laura Ciobanu, Derek F Holt, Sarah Rees
We prove that many Artin groups of large type satisfy the rapid decay property, including all those of extra-large type. For many of these, including all 3-generator groups of extr…