Metric properties of Baumslag–Solitar groups-Reference-Cited by-同舟云学术

Metric properties of Baumslag–Solitar groups

Published:2015-08 Issue:05 Volume:25 Page:799-811
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Burillo José¹,Elder Murray²

Affiliation:

1. Departament de Matemàtica Aplicada IV, EETAC-UPC, C/Esteve Torrades 5, 08860 Castelldefels, Barcelona, Spain

2. School of Mathematical & Physical Sciences, The University of Newcastle, Callaghan, New South Wales, Australia

Abstract

We compute estimates for the word metric of Baumslag–Solitar groups in terms of the Britton's lemma normal form. As a corollary, we find lower bounds for the growth rate for the groups BS(p, q) with 1 < p ≤ q.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196715500198

Reference15 articles.

1. Growth functions for some nonautomatic Baumslag-Solitar groups

2. The Algebraic Theory of Context-Free Languages

3. Growth series for the group ?x,y�x ?1 yx=y l ?

4. ON COMPUTING GEODESICS IN BAUMSLAG–SOLITAR GROUPS

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