Automatic groups: A guided tour

zbMath0811.20038MaRDI QIDQ1803625

Benson Farb

Publication date: 29 June 1993

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Cayley graphbraid groupsfundamental grouphyperbolic groupsmapping class groupscompact manifoldautomatic groupsfinitely generated group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) 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 (8)

The Development of the Theory of Automatic Groups ⋮ Lamplighter groups and automata ⋮ Higher rank lamplighter groups are graph automatic ⋮ Generic-case complexity, decision problems in group theory, and random walks. ⋮ Average-case complexity and decision problems in group theory. ⋮ Some new biautomatic Coxeter groups. ⋮ From automatic structures to automatic groups. ⋮ On the width of regular classes of finite structures

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