Growth in Baumslag–Solitar groups II: The Bass–Serre tree

DOI10.1142/S0218196720500022zbMath1486.20053OpenAlexW2978008355WikidataQ127184092 ScholiaQ127184092MaRDI QIDQ5221281

Jared Adams, Eric M. Freden

Publication date: 25 March 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196720500022

zbMATH Keywords

growthBaumslag-Solitar groups

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Asymptotic properties of groups (20F69) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

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• A linear-time algorithm to compute geodesics in solvable Baumslag-Solitar groups.
• Counting elements and geodesics in Thompson's group \(F\).
• Almost convex groups
• Solvable Baumslag-Solitar groups are not almost convex.
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\)
• Metric properties of Baumslag–Solitar groups
• ON COMPUTING GEODESICS IN BAUMSLAG–SOLITAR GROUPS
• Some geodesic problems in groups
• Growth in Baumslag–Solitar groups I: subgroups and rationality
• Some two-generator one-relator non-Hopfian groups
• Growth Functions for Some Nonautomatic Baumslag-Solitar Groups
• The cogrowth series for BS(N, N) is D-finite

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