Geometric group theory

Large-scale and analytic properties of finitely generated groups: growth, word-hyperbolic groups and their quotients, amenability and Følner sets, elementary amenable groups, property (T), soficity and permutation stability.

• Branch, automaton and Thompson groups
• Amenable groups
• Elementary amenable groups
• Finitely generated simple amenable groups
• Følner sets and polynomial growth
• Growth of groups
• Growth rates of amenable groups
• Hyperbolic groups
• Permutation stability
• Power quotients of hyperbolic groups
• Property (T) for automorphism groups of free groups
• Sofic groups

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