{"product_id":"amenability-of-discrete-groups-by-examples-book-kate-juschenko-9781470470326","title":"Amenability of Discrete Groups by Examples","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.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50377387049233,"sku":"CIN1470470322G","price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470470322.jpg?v=1763481262","url":"https:\/\/www.worldofbooks.com\/de-de\/products\/amenability-of-discrete-groups-by-examples-buch-kate-juschenko-9781470470326","provider":"World of Books ","version":"1.0","type":"link"}