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Beschreibung
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)
"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)
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)
"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)
Zusammenfassung
J-P. Serre (Fields Medal 1954) is one of the most exceptional mathematicians of our age and also one of the most talented expositors of high-level mathematics
Inhaltsverzeichnis
I. Trees and Amalgams.- §1 Amalgams.- §2 Trees.- §3 Trees and free groups.- §4 Trees and amalgams.- §5 Structure of a group acting on a tree.- §6 Amalgams and fixed points.- II. SL2.- §1 The tree of SL2 over a local field.- §2 Arithmetic subgroups of the groups GL2 and SL2 over a function field of one variable.
Details
Erscheinungsjahr: | 2002 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Monographs in Mathematics |
Inhalt: |
ix
142 S. 1 s/w Illustr. |
ISBN-13: | 9783540442370 |
ISBN-10: | 3540442375 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Serre, Jean-Pierre |
Übersetzung: | Stilwell, J. |
Auflage: | 1st ed. 1980. Corr. 2nd printing 2002 |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Springer Monographs in Mathematics |
Maße: | 241 x 160 x 15 mm |
Von/Mit: | Jean-Pierre Serre |
Erscheinungsdatum: | 25.11.2002 |
Gewicht: | 0,412 kg |
Zusammenfassung
J-P. Serre (Fields Medal 1954) is one of the most exceptional mathematicians of our age and also one of the most talented expositors of high-level mathematics
Inhaltsverzeichnis
I. Trees and Amalgams.- §1 Amalgams.- §2 Trees.- §3 Trees and free groups.- §4 Trees and amalgams.- §5 Structure of a group acting on a tree.- §6 Amalgams and fixed points.- II. SL2.- §1 The tree of SL2 over a local field.- §2 Arithmetic subgroups of the groups GL2 and SL2 over a function field of one variable.
Details
Erscheinungsjahr: | 2002 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Monographs in Mathematics |
Inhalt: |
ix
142 S. 1 s/w Illustr. |
ISBN-13: | 9783540442370 |
ISBN-10: | 3540442375 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Serre, Jean-Pierre |
Übersetzung: | Stilwell, J. |
Auflage: | 1st ed. 1980. Corr. 2nd printing 2002 |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Springer Monographs in Mathematics |
Maße: | 241 x 160 x 15 mm |
Von/Mit: | Jean-Pierre Serre |
Erscheinungsdatum: | 25.11.2002 |
Gewicht: | 0,412 kg |
Warnhinweis