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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

Online
ISSN
1435-4446
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Volume 12, Issue 6

Issues

The relative hyperbolicity of one-relator relative presentations

Le Thi Giang
  • Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119992, Leninskie gory, MSU, Russia. E-mail:
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Published Online: 2009-06-22 | DOI: https://doi.org/10.1515/JGT.2009.025

Abstract

We prove that if G is a torsion-free group and w is a word in the alphabet G ⊔ {t ±1} with exponent sum 1 in t, then the group 〈 G, t | wk = 1〉, for k ⩾ 2, is relatively hyperbolic with respect to G.

About the article

Received: 2008-07-18

Revised: 2008-11-29

Published Online: 2009-06-22

Published in Print: 2009-11-01


Citation Information: Journal of Group Theory, Volume 12, Issue 6, Pages 949–959, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2009.025.

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[1]
Sergei V. Ivanov and Anton A. Klyachko
Bulletin of the London Mathematical Society, 2018

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