Abstract. Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to tra...
In this paper we consider Property (FA) for lattices in SU(2, 1). First, we prove that SU(2, 1; O3) has Property (FA). We then prove that the arithmetic lattices in SU(2, 1) of se...
We study the Dehn functions of amalgamations, introducing the notion of strongly undistorted subgroups. Using this, we give conditions under which taking an amalgamation does not i...
We show that the following problems are decidable in rank 2 free groups: does a given finitely generated subgroup H contain primitive elements? and does H meet the automorphic or...
Abstract. We say the endomorphism problem is solvable for an element W in a free group F if it can be decided effectively whether, given U in F , there is an endomorphism φ of F ...