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Trees

By: Material type: TextTextLanguage: English Publication details: Berlin Springer 1984Description: ix, 142p. illISBN:
  • 3540101039 (HB)
Subject(s):
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
Summary: 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.
Item type: BOOKS
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Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.5 SER (Browse shelf(Opens below)) Available 20084

Includes index

Includes bibliography (p. 137-140) and references

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

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.

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The Institute of Mathematical Sciences, Chennai, India