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Amenability of Discrete Groups by Examples (Paperback) Loot Price: R3,206
Discovery Miles 32 060
Amenability of Discrete Groups by Examples (Paperback): Kate Juschenko

Amenability of Discrete Groups by Examples (Paperback)

Kate Juschenko

Series: Mathematical Surveys and Monographs

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Loot Price R3,206 Discovery Miles 32 060 | Repayment Terms: R300 pm x 12*

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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.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: Mathematical Surveys and Monographs
Release date: July 2022
Authors: Kate Juschenko
Format: Paperback
Pages: 167
ISBN-13: 978-1-4704-7032-6
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 1-4704-7032-2
Barcode: 9781470470326

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