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Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups
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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
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Group Theory and Generalizations
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Lie groups
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Mathematics
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Topological groups
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Topological groups, Lie groups
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Authors:
Abels, Herbert
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
512.2
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