Negligibity of elliptic elements in ascending HNN-extensions of Zm
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Publication:5238153
DOI10.1080/00927872.2019.1612417zbMath1468.20116arXiv1808.10684OpenAlexW2946261367MaRDI QIDQ5238153
Publication date: 28 October 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.10684
Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Probabilistic methods in group theory (20P05)
Cites Work
- The rationality of Sol-manifolds
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Generic-case complexity, decision problems in group theory, and random walks.
- Growth in higher Baumslag-Solitar groups
- Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\)
- Counting primitive elements in free groups
- Probabilistic nilpotence in infinite groups
- Minimal exponential growth rates of metabelian Baumslag-Solitar groups and lamplighter groups
- Growth in Baumslag–Solitar groups I: subgroups and rationality
- Examples of growth series of torus bundle groups
- The Geometries of 3-Manifolds
- Free products with amalgamation and HNN-extensions of uniformly exponential growth
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