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Finite presentability of S-arithmetic groups : compact presentability of solvable groups /

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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 thi...

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Bibliographic Details
Main Author: Abels, Herbert, 1941-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1987]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1261.
Subjects:
Linear algebraic groups.
Arithmetic groups.
Lie groups.
Groupes linéaires algébriques.
Groupes arithmétiques.
Lie, Groupes de.
Auflösbare Gruppe.
Endliche Darstellung.
Endliche Präsentation.
S-arithmetische Gruppe.
Arithmetic groups
Lie groups
Linear algebraic groups
Electronic books.
Kompakte Präsentation.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • 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
  • Appendix
  • References
  • List of symbols
  • Index.