12 citations · 12 across the 6 of their papers we have counts for
4 papers · 1 filter
On CT and CSA Groups and Related Ideas
Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger +1
A group is commutative transitive or CT if commuting is transitive on nontrivial elements. A group is CSA or conjugately separated abelian if maximal abelian subgroups are…
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 (…
Growth rate of an endomorphism of a group
Kenneth Falconer, Benjamin Fine, Delaram Kahrobaei
In [B] Bowen defined the growth rate of an endomorphism of a finitely generated group and related it to the entropy of a map on a compact manifold. In this note we…