3 papers
math.GR2010
Length Functions for Semigroup Embeddings
Tara Davis
Following the work done by Olshanskii for groups, we describe, for a given semigroup , which functions can be realized up to equivalence as length…
math.GR2010
Distortion in Free Nilpotent Groups
Tara Davis
We prove that a subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a subgroup of finite index in F.
math.GR2010
Subgroup Distortion in Wreath Products of Cyclic Groups
Tara Davis, Alexander Olshanskii
We study the effects of subgroup distortion in the wreath products A wr Z, where A is finitely generated abelian. We show that every finitely generated subgroup of A wr Z has disto…