Vol. 228, No. 1, 2006

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Distortion of wreath products in some finitely presented groups

Sean Cleary

Vol. 228 (2006), No. 1, 53–61
Abstract

Wreath products such as Z Z are not finitely presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z Z as a subgroup of Thompson’s group F and as a subgroup of Baumslag’s metabelian group G. We find that Z Z is undistorted in F but is at least exponentially distorted in G.

Keywords

subgroup distortion, Thompson’s group

Mathematical Subject Classification

Primary: 20F65

Milestones

Received: 28 January 2005
Accepted: 17 March 2006

Authors
Sean Cleary
Department of Mathematics R8133
The City College of New York
New York, NY 10031
http://www.sci.ccny.cuny.edu/~cleary