Regular combings, nonpositive curvature and the quasiconvexity of Abelian subgroups

DOI10.1016/0022-4049(93)90009-IzbMath0802.20033MaRDI QIDQ686014

Martin R. Bridson

Publication date: 3 November 1993

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

zbMATH Keywords

regular languagenonpositive curvatureabelian subgroupsfinitely generated groupcombing(bi-)automatic groupscommensurability classes of subgroupsmonoid epimorphismsimply-connected geodesic metric spacesimply-connected spaces

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items (3)

A NOTE ON THE GRAMMAR OF COMBINGS ⋮ Algorithms detecting stability and Morseness for finitely generated groups ⋮ Commensurating HNN extensions: nonpositive curvature and biautomaticity

Cites Work

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• Semihyperbolic Groups
• Three models for the description of language
• An Approach to a Unified Theory of Automata
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature

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