Artin groups, rewriting systems and three-manifolds

DOI10.1016/S0022-4049(97)00171-0zbMath0936.20033OpenAlexW2020987748MaRDI QIDQ1295710

John Meier, Susan M. Hermiller

Publication date: 15 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00171-0

zbMATH Keywords

normal formsArtin groupsfinite complete rewriting systemsbiautomatic structuresfundamental groups of compact three-manifolds

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Grammars and rewriting systems (68Q42) Fundamental group, presentations, free differential calculus (57M05)

Related Items (19)

REWRITING SYSTEMS AND ORDERINGS ON ARTIN MONOIDS ⋮ Numerical upper bounds on growth of automaton groups ⋮ Cocompactly cubulated 2-dimensional Artin groups ⋮ Residual finiteness of certain 2-dimensional Artin groups ⋮ Algorithms and topology of Cayley graphs for groups. ⋮ Braids via term rewriting ⋮ On finite complete rewriting systems and large subsemigroups. ⋮ The Knuth-Bendix algorithm and the conjugacy problem in monoids. ⋮ Complete positive group presentations. ⋮ Quasi-isometric classification of graph manifold groups. ⋮ The action dimension of right‐angled Artin groups ⋮ Homology and closure properties of autostackable groups ⋮ A topological equivalence relation for finitely presented groups ⋮ Rewriting systems in alternating knot groups with the Dehn presentation ⋮ Finite complete rewriting systems and finite derivation type for small extensions of monoids ⋮ REWRITING SYSTEMS IN ALTERNATING KNOT GROUPS ⋮ Around 3-manifold groups ⋮ Poly-free constructions for right-angled Artin groups ⋮ Regular left-orders on groups

Uses Software

• RRL

Cites Work

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