Minimal almost convexity
- Publication Type:
- Journal Article
- Journal of Group Theory, 2005, 8 (2), pp. 239 - 266
- Issue Date:
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-FP3group do not satisfy MAC. As a consequence, the condition MAC is not a commensurability invariant. © de Gruyter 2005.
Please use this identifier to cite or link to this item: