Finite presentability of S-arithmetic groups : compact presentability of solvable groups /
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| Author / Creator: | Abels, Herbert, 1941- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1987. |
| Description: | 1 online resource (vi, 178 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1261 Lecture notes in mathematics (Springer-Verlag) ; 1261. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11070280 |
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| 100 | 1 | |a Abels, Herbert, |d 1941- |0 http://id.loc.gov/authorities/names/n86129971 |1 http://viaf.org/viaf/32483000 | |
| 245 | 1 | 0 | |a Finite presentability of S-arithmetic groups : |b compact presentability of solvable groups / |c Herbert Abels. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1987. | ||
| 300 | |a 1 online resource (vi, 178 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1261 | |
| 504 | |a Includes bibliographical references (pages 171-174) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
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| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Linear algebraic groups. |0 http://id.loc.gov/authorities/subjects/sh85077171 | |
| 650 | 0 | |a Arithmetic groups. |0 http://id.loc.gov/authorities/subjects/sh85007175 | |
| 650 | 0 | |a Lie groups. |0 http://id.loc.gov/authorities/subjects/sh85076786 | |
| 650 | 6 | |a Groupes linéaires algébriques. | |
| 650 | 6 | |a Groupes arithmétiques. | |
| 650 | 6 | |a Lie, Groupes de. | |
| 650 | 7 | |a Arithmetic groups. |2 fast |0 (OCoLC)fst00814524 | |
| 650 | 7 | |a Lie groups. |2 fast |0 (OCoLC)fst00998135 | |
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