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AuthorSerre, Jean-Pierre. author
TitleTrees [electronic resource] / by Jean-Pierre Serre
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1980
Connect tohttp://dx.doi.org/10.1007/978-3-642-61856-7
Descript X, 144 p. online resource

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


CONTENT

I. Trees and Amalgams -- ยง1 Amalgams -- ยง2 Trees -- ยง3 Trees and free groups -- ยง4 Trees and amalgams -- ยง5 Structure of a group acting on a tree -- ยง6 Amalgams and fixed points -- II. SL2 -- ยง1 The tree of SL2 over a local field -- ยง2 Arithmetic subgroups of the groups GL2 and SL2 over a function field of one variable


Mathematics Radiology Algebra Field theory (Physics) Mathematics Field Theory and Polynomials Diagnostic Radiology



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