Minimal length normal forms for some soluble groups

DOI10.1016/0022-4049(95)00165-4zbMath0869.20020OpenAlexW2049941407MaRDI QIDQ5961637

J. R. J. Groves

Publication date: 3 September 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00165-4

zbMATH Keywords

generating setsHNN-extensionsinfinite soluble groupsregular sets of length-minimal normal formssoluble Baumslag-Solitar groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (4)

Markov semigroups, monoids and groups ⋮ Metric properties of Baumslag–Solitar groups ⋮ A context-free and a 1-counter geodesic language for a Baumslag-Solitar group ⋮ Some geodesic problems in groups

Cites Work

• Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\)
• Growth Functions for Some Nonautomatic Baumslag-Solitar Groups
• Unnamed Item

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