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Level: BSc, MSci, MSc
Title: Amenable groups
Supervisor:

Dr Xin Li
Research Area: Geometry and Analysis
Description:

Amenability of groups is a notion going back to John von Neumann and closely related to the Banach-Tarski paradox. It provides a bridge between algebraic and analytic aspects of group theory and has many applications in several areas in mathematics. The goal of this project is to develop the basics of amenability such as equivalent characterizations and concrete examples.
Further Reading:
  • T. Ceccherini-Silberstein, M. Coornaert, Cellular automata and groups, Chapter 4. Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2010.
Key Modules:

MTH6104 Algebraic Structures II

MTH5100 Algebraic Structures I

MTH5104 Convergence and Continuity

MTH5105 Differential and Integral Analysis
Other Information:
Current Availability: Yes