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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups ([EBook] /) / by Herbert Abels.
Author	Abels, Herbert
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1987.
Physical Details	VI, 182 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1261
ISBN	9783540471981
Summary Note	The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups.:
Contents note	Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0079708
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . Lie groups . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Abels, Herbert . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.2 .

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Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups

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