Trees

1. Auflage 1980. Corr. 2. printing 2002
ISBN: 978-3-540-44237-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 142 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 412 g

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)

Zielgruppe

Research

Autoren/Hrsg.

Serre, Jean-Pierre

Weitere Mitwirkende

Stilwell, J.

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

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.