2 papers
math.GR2026
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.
math.GR2023
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…