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＜E-Book＞
Trees / by Jean-Pierre Serre

Edition	1st ed. 1980.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1980
Language	English
Size	IX, 142 p : online resource
Authors	*Serre, Jean-Pierre author SpringerLink (Online service)
Subjects	LCSH:Algebraic fields LCSH:Polynomials LCSH:Radiology FREE:Field Theory and Polynomials FREE:Radiology
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-642-61856-7

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