Pregroups and Bass-Serre theory

DOI10.1090/memo/0361zbMath0633.20014OpenAlexW1964485669MaRDI QIDQ3770705

Frank Rimlinger

Publication date: 1987

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0361

zbMATH Keywords

free products with amalgamationHNN extensionsreduced wordstree orderinguniversal groupfundamental group of a graph of groupsfree by finitepregroups of finite height

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (12)

Geometric characterizations of virtually free groups ⋮ HNN extensions of semigroups ⋮ Groups with free regular length functions in $\mathbb{Z}^{n}$ ⋮ A generalization of Stallings' pregroup ⋮ Vertex separators, chordality and virtually free groups ⋮ UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS ⋮ The embedding of semigroup amalgams ⋮ Polynomial-time proofs that groups are hyperbolic ⋮ Solutions to twisted word equations and equations in virtually free groups ⋮ On generalizing Stallings' pregroup ⋮ Free products with amalgamation of semigroups ⋮ Deciding embeddability of partial groupoids into semigroups

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