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Minimal almost convexity

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Published/Copyright: July 27, 2005
Journal of Group Theory
From the journal Volume 8 Issue 2

Abstract

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.

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Published Online: 2005-07-27
Published in Print: 2005-03-08

© de Gruyter

Articles in the same Issue

  1. Coxeter covers of the symmetric groups
  2. The X-Dirichlet polynomial of a finite group
  3. On non-commuting sets in an extraspecial p-group
  4. The torsion subgroup of p-adic analytic pro-p groups
  5. Milnor groups and (virtual) nilpotence
  6. Anomalous behavior of the Hawaiian earring group
  7. A CAT(0) group with uncountably many distinct boundaries
  8. Minimal almost convexity
https://doi.org/10.1515/jgth.2005.8.2.239

Articles in the same Issue

  1. Coxeter covers of the symmetric groups
  2. The X-Dirichlet polynomial of a finite group
  3. On non-commuting sets in an extraspecial p-group
  4. The torsion subgroup of p-adic analytic pro-p groups
  5. Milnor groups and (virtual) nilpotence
  6. Anomalous behavior of the Hawaiian earring group
  7. A CAT(0) group with uncountably many distinct boundaries
  8. Minimal almost convexity
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