arXiv Analytics

Sign in

arXiv:math/0505288 [math.GR]AbstractReferencesReviewsResources

Distortion of wreath products in some finitely presented groups

Sean Cleary

Published 2005-05-13Version 1

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

Comments: 9 pages, 5 figures
Categories: math.GR
Subjects: 20F65
Related articles: Most relevant | Search more
arXiv:0908.1268 [math.GR] (Published 2009-08-10, updated 2010-09-17)
Free limits of Thompson's group $F$
arXiv:1501.04313 [math.GR] (Published 2015-01-18)
Thompson's group F is 1-counter graph automatic
arXiv:1501.06682 [math.GR] (Published 2015-01-27)
The $Σ$-invariants of Thompson's group $F$ via Morse theory

Links

Toolbox