User:Jowa fan/Books/Geometric and combinatorial group theory
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Geometric and combinatorial group theory[edit]
- Intro
- Geometric group theory
- Word problem for groups
- Conjugacy problem
- Group isomorphism problem
- Burnside's problem
- Bass–Serre theory
- Small cancellation theory
- Percolation theory
- Definitions
- CW complex
- Presentation of a group
- Tietze transformations
- Nielsen transformation
- Cayley graph
- Word metric
- Hyperbolic group
- Quasi-isometry
- Dehn function
- Growth rate (group theory)
- Automatic group
- Free product
- HNN extension
- Semidirect product
- Wreath product
- Van Kampen diagram
- Amenable group
- Følner sequence
- Graph of groups
- Train track map
- Out(Fn)
- CAT(k) space
- Polycyclic group
- Theorems and conjectures
- Ping-pong lemma
- Higman's embedding theorem
- Seifert–van Kampen theorem
- Tits alternative
- Kurosh subgroup theorem
- Stallings theorem about ends of groups
- Gromov's theorem on groups of polynomial growth
- Hanna Neumann conjecture
- Von Neumann conjecture
- Examples
- Triangle group
- (2,3,7) triangle group
- Thompson groups
- Grigorchuk group
- Lamplighter group
- Baumslag–Solitar group
- Braid group
- Artin group
- Grushko theorem
- Tarski monster group