Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups / by Herbert Abels.

Format:

Book

Author/Creator:

Abels, Herbert, 1941- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1261.

Lecture Notes in Mathematics, 0075-8434 ; 1261

Language:

English

Subjects (All):

Group theory.

Topological groups.

Group Theory and Generalizations.

Topological Groups, Lie Groups.

Local Subjects:

Group Theory and Generalizations.

Topological Groups, Lie Groups.

Physical Description:

1 online resource (VI, 182 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987.

System Details:

text file PDF

Summary:

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:

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.

Other Format:

Printed edition:

ISBN:

9783540471981

Access Restriction:

Restricted for use by site license.