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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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CiteScore 2018: 0.53

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Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Volume 8, Issue 2


Minimal almost convexity

Murray Elder
  • School of Mathematics and Statistics, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland.
  • Other articles by this author:
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/ Susan Hermiller
Published Online: 2005-07-27 | DOI: https://doi.org/10.1515/jgth.2005.8.2.239


In this article we show that the Baumslag–Solitar group BS(1, 2) is minimally almost convex, or MAC. We also show that BS(1, 2) does not satisfy Poénaru’s almost convexity condition P(2), and hence the condition P(2) is strictly stronger than MAC. Finally, we show that the groups BS(1, q) for q ≥ 7 and Stallings’ non-FP3 group do not satisfy MAC. As a consequence, the condition MAC is not a commensurability invariant.

About the article

Received: 23 October, 2003

Revised: 20 April, 2004

Published Online: 2005-07-27

Published in Print: 2005-03-08

Citation Information: Journal of Group Theory, Volume 8, Issue 2, Pages 239–266, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth.2005.8.2.239.

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