基本説明
Original French edition published by Soc. Math. France, 1977. 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,...... This fine translation is very welcome and I strongly recommend it as an introduction to an important subject...." (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982)
Full Description
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)
Contents
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.
