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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
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Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Volume 12, Issue 6


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


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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