Beschreibung:
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.
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.