Amenability of Discrete Groups by Examples PDF
by Kate Juschenko
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Description
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.
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- Format:PDF
- Pages:165 pages
- Publisher:American Mathematical Society
- Publication Date:06/10/2022
- Category:
- ISBN:9781470471095
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- Paperback / softback from £102.03
Information
-
Download Now
- Format:PDF
- Pages:165 pages
- Publisher:American Mathematical Society
- Publication Date:06/10/2022
- Category:
- ISBN:9781470471095