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Geometric and combinatorial group theory

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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