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"Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case." (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982)
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The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by J-P.Serre, and written with the collaboration of H.Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the Bruhat-Tits tree of SL(2) over a local field.
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ISBN 10: 3642618588
ISBN 13: 9783642618581
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Taschenbuch. Zustand: Neu. Neuware -From the reviews:'Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case.' (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982)Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch. Artikel-Nr. 9783642618581
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - From the reviews: 'Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case.' (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982). Artikel-Nr. 9783642618581
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Trees (Springer Monographs in Mathematics)
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Trees
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2012
ISBN 10: 3642618588
ISBN 13: 9783642618581
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Zustand: New. Translator(s): Stilwell, J. Series: Springer Monographs in Mathematics. Num Pages: 154 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 8. Weight in Grams: 248. . 2012. Paperback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9783642618581
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