Trees

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

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

The seminal ideas of this book played a key role in the development of group theory since the 70s. Several generations of mathematicians learned geometric ideas in group theory from this book. In it, the author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the proof of the general case. This new edition is ideal for graduate students and researchers in algebra, geometry and topology.

Zielgruppe

Research

Autoren/Hrsg.

Serre, Jean-Pierre

Weitere Mitwirkende

Stilwell, J.

Fachgebiete

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

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.