1 citations · 2 across the 5 of their papers we have counts for
5 papers
A Note on the FC-Center of Thompson's Group
Brent B. Solie
We show that the FC-center of Thompson's group , the subgroup consisting of all elements with finite conjugacy classes, is trivial.
Elliptic subgroups in cyclic splittings of a free group
Brent B. Solie
We use Gersten's generalization of Whitehead's algorithm to determine whether a given finitely generated subgroup of a free group is elliptic in an elementary cyclic splitting…
Primitivity of group rings of non-elementary torsion-free hyperbolic groups
Brent B. Solie
We use a recent result of Alexander and Nishinaka to show that if is a non-elementary torsion-free hyperbolic group and is a countable domain, then the group ring is p…
Quantifying the Residual Properties of Gamma-Limit Groups
Brent B. Solie
Let Gamma be a fixed hyperbolic group. The Gamma-limit groups of Sela are exactly the finitely generated, fully residually Gamma groups. We give a new invariant of Gamma-limit grou…
Genericity of Filling Elements
Brent B. Solie
An element of a finitely generated non-Abelian free group F(X) is said to be filling if that element has positive translation length in every very small action of F(X) on an $\math…