| Algebraic Groups and Lie Groups with Few Factors 2008 Edition Contributor(s): Di Bartolo, Alfonso (Author), Falcone, Giovanni (Author), Plaumann, Peter (Author) |
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ISBN: 3540785833 ISBN-13: 9783540785835 Publisher: Springer OUR PRICE: $66.45 Product Type: Paperback - Other Formats Published: April 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Geometry - Algebraic - Mathematics | Algebra - Abstract |
| Dewey: 516.35 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.49" H x 6.14" W x 9.21" (0.73 lbs) 212 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |