Subgroups of finite index in groups with finite complete rewriting systems

DOI10.1017/S0013091500020794zbMath0976.20025MaRDI QIDQ4487703

Jing Wang, Stephen J. Pride

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexfree productscomplete rewriting systemsdirected 2-complexes

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Grammars and rewriting systems (68Q42) 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)

Related Items (6)

Green index in semigroups: generators, presentations, and automatic structures. ⋮ Finite complete rewriting systems for regular semigroups. ⋮ Green index and finiteness conditions for semigroups. ⋮ Homology and closure properties of autostackable groups ⋮ On Finite Complete Presentations and Exact Decompositions of Semigroups ⋮ Diagram groups and directed 2-complexes: homotopy and homology.

Cites Work

• Equivalences of two-complexes, with applications to NEC-groups
• Subgroups of Small Cancellation Groups

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