12 citations · 13 across the 8 of their papers we have counts for
8 papers
Groups of F-Type
Benjamin Fine, Gerhard Rosenberger, Leonard Wienke
We consider a class of groups, called groups of F-type, which includes some known and important classes like Fuchsian groups of geometric rank , surface groups of genus $\ge…
The Axiomatics of Free Group Rings
Benjamin Fine, Anthony Gaglione, Martin Kreuzer +2
In [FGRS1,FGRS2] the relationship between the universal and elementary theory of a group ring and the corresponding universal and elementary theory of the associated group $…
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…
On the generalized Hurwitz equations and the Baragar-Umeda equations
Benjamin Fine, Gabriele Kern-Isberner, Anja I. S. Moldenhauer +1
We consider the generalized Hurwitz equation and the Baragar-Umeda equation for solvability in integers.
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 (…