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| Verfasst von: | Juschenko, Kate [VerfasserIn]  |
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| Titel: | Amenability of discrete groups by examples |
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| Verf.angabe: | Kate Juschenko |
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| Verlagsort: | Providence, Rhode Island |
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| Verlag: | American Mathematical Society |
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| E-Jahr: | 2022 |
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| Jahr: | [2022] |
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| Umfang: | 1 Online-Ressource (xi, 165 Seiten) |
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| Illustrationen: | Illustrationen |
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| Gesamttitel/Reihe: | Mathematical surveys and monographs ; volume 266 |
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| Fussnoten: | Description based on publisher supplied metadata and other sources |
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| ISBN: | 978-1-4704-7109-5 |
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| Abstract: | 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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| URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=7015908 |
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| Schlagwörter: | (s)Diskrete amenable Gruppe / (s)Amenabilitätstheorie / (s)Banach-Tarskisches Paradoxon / (s)Cantor-Raum / (s)Topologische volle Gruppe |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Juschenko, Kate, 1984 - : Amenability of discrete groups by examples. - Providence, Rhode Island : American Mathematical Society, 2022. - xi, 165 Seiten |
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| Sach-SW: | Electronic books |
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| K10plus-PPN: | 1808313364 |
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| Verknüpfungen: | → Übergeordnete Aufnahme |
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| Lokale URL UB: |  Zum Volltext |
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978-1-4704-7109-5
Amenability of discrete groups by examples / Juschenko, Kate [VerfasserIn]; [2022] (Online-Ressource)
68952883
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