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

✍ Scribed by Herbert Abels (auth.)

Book ID
127405608
Publisher
Springer
Year
1987
Tongue
English
Weight
942 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540471987

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Topological Groups, Lie Groups

πŸ“œ SIMILAR VOLUMES

Finite Presentability of Bruck–Reilly Ex
Finite Presentability of Bruck–Reilly Extensions of Groups
✍ Isabel M AraΓΊjo; N RusΜ†kuc πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 96 KB

The purpose of this paper is to consider finite generation and finite presentabil-Ž . ity of a Bruck᎐Reilly extension S s BR G, of a group G with respect to an endomorphism . It is proved that S is finitely generated if and only if G can be generated by a set of the form D ϱ A i , where A : G is fin