Growth Functions for Some Nonautomatic Baumslag-Solitar Groups

DOI10.2307/2154687zbMath0804.20027OpenAlexW4238876982MaRDI QIDQ4292740

Marcus Brazil

Publication date: 17 January 1995

Full work available at URL: https://doi.org/10.2307/2154687

zbMATH Keywords

wordsgenerating functionsgeneratorsgrowth functionsfinite state automataBaumslag-Solitar groupnonautomatic group with rational growth

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (11)

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ The rationality of Sol-manifolds ⋮ Growth in higher Baumslag-Solitar groups ⋮ On problems related to growth, entropy, and spectrum in group theory ⋮ A context-free and a 1-counter geodesic language for a Baumslag-Solitar group ⋮ Minimal length normal forms for some soluble groups ⋮ \( \mathcal{F}_\pi \)-residuality of generalized Baumslag-Solitar groups ⋮ Growth in Baumslag–Solitar groups II: The Bass–Serre tree ⋮ Rational Growth and Almost Convexity of Higher-Dimensional Torus Bundles ⋮ A new proof of the growth rate of the solvable Baumslag-Solitar groups ⋮ Rational growth in torus bundle groups of odd trace

Cites Work

• Unnamed Item
• Unnamed Item
• Automatic groups and amalgams
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Alternants for generalized convex functions
• Some two-generator one-relator non-Hopfian groups
• MONOID GROWTH FUNCTIONS FOR BRAID GROUPS

This page was built for publication: Growth Functions for Some Nonautomatic Baumslag-Solitar Groups