Algebraic groups and lie groups with few factors /
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| Imprint: | Berlin : Springer, ©2008. |
|---|---|
| Description: | 1 online resource (xvi, 206 pages). |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1944 Lecture notes in mathematics (Springer-Verlag) ; 1944. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11067497 |
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| 245 | 0 | 0 | |a Algebraic groups and lie groups with few factors / |c Alfonso Di Bartolo [and others]. |
| 260 | |a Berlin : |b Springer, |c ©2008. | ||
| 300 | |a 1 online resource (xvi, 206 pages). | ||
| 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 1944 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Prerequisites -- Extensions -- Groups of Extreme Nilpotency Class -- Chains -- Groups with Few Types of Isogenous Factors -- Three-Dimensional Affine Groups -- Normality of Subgroups. | |
| 520 | |a Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined. | ||
| 650 | 0 | |a Linear algebraic groups. |0 http://id.loc.gov/authorities/subjects/sh85077171 | |
| 650 | 0 | |a Lie groups. |0 http://id.loc.gov/authorities/subjects/sh85076786 | |
| 650 | 0 | |a Group theory. |0 http://id.loc.gov/authorities/subjects/sh85057512 | |
| 650 | 0 | 7 | |a Group theory. |2 cct |
| 650 | 0 | 7 | |a Linear algebraic groups. |2 cct |
| 650 | 0 | 7 | |a Lie groups. |2 cct |
| 650 | 7 | |a Group theory. |2 fast |0 (OCoLC)fst00948521 | |
| 650 | 7 | |a Lie groups. |2 fast |0 (OCoLC)fst00998135 | |
| 650 | 7 | |a Linear algebraic groups. |2 fast |0 (OCoLC)fst00999060 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Di Bartolo, Alfonso. |0 http://id.loc.gov/authorities/names/nb2008010701 |1 http://viaf.org/viaf/70147638 | |
| 776 | 0 | 8 | |i Print version: |t Algebraic groups and lie groups with few factors. |d Berlin : Springer, ©2008 |z 9783540785835 |z 3540785833 |w (OCoLC)213384269 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1944. | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/978-3-540-78584-2 |y SpringerLink |
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| 928 | |t Library of Congress classification |a QA179 .L37 no.1944eb |l Online |c UC-FullText |u http://link.springer.com/10.1007/978-3-540-78584-2 |z SpringerLink |g ebooks |i 9875459 | ||