collaborators

4 papers

math.GR2012

Relative Subgroup Growth and Subgroup Distortion

Tara C. Davis, Alexander Yu. Olshanskii

We study the relative growth of finitely generated subgroups in finitely generated groups, and the corresponding distortion function of the embeddings. We explore which functions a…

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…