Finite presentability of S-arithmetic groups
compact presentability of solvable groups
by Herbert Abels
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.
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Arithmetic groups, Lie groups, Linear algebraic groups, Groupes linéaires algébriques, Groupes arithmétiques, Groupes de Lie, Auflösbare Gruppe, Endliche Darstellung, Endliche Präsentation, S-arithmetische Gruppe, Group theory, Geometry, algebraic, Mathematics, Topological Groups, Group Theory and Generalizations, Lie Groups Topological Groups| Edition | Availability |
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Finite presentability of S-arithmetic groups: compact presentability of solvable groups
1987, Springer-Verlag
in English
3540179755 9783540179757
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Includes bibliographical references (p. [171]-174) and index.
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