Embeddings of relatively free groups into finitely presented groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We construct easy embeddings of relatively free groups (say the free Burnside group, the free solvable group) into finitely presented groups. We introduce a concept of verbal isoperimetric function of a group variety. We prove that if the verbal Dehn function of a relatively free group is bounded by a polynomial then the group can be embedded quasi-isometrically into a finitely presented group with polynomial isoperimetric function. We also construct an easy embedding of any Baumslag-Solitar solvable group into a finitely presented group with polynomial Dehn function.

Keywords

Group Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/59173

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005112
 http://arxiv.org/abs/math/0005112

Collections

arXiv