Amenability of Discrete Groups by Examples
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Amenability of Discrete Groups by Examples by Kate Juschenko
The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups. In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the exposition of the material starts with examples which introduce a method rather than illustrating it. This allows the reader to quickly move on to meaningful material without learning and remembering a lot of additional definitions and preparatory results; those are presented after analyzing the main examples. The techniques that are used for proving amenability in this book are mainly a combination of analytic and probabilistic tools with geometric group theory.
Kate Juschenko, University of Texas, Austin, TX.
| SKU | Unavailable |
| ISBN 13 | 9781470470326 |
| ISBN 10 | 1470470322 |
| Title | Amenability of Discrete Groups by Examples |
| Author | Kate Juschenko |
| Series | Mathematical Surveys And Monographs |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2022-08-30 |
| Number of pages | 167 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |