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Algebraic Groups and Lie Groups with Few Factors / by Alfonso Di Bartolo, Giovanni Falcone, Peter Plaumann, Karl Strambach.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Di Bartolo, Alfonso, author.
- Falcone, Giovanni, author.
- Plaumann, Peter, author.
- Strambach, Karl, author.
- Series:
- Lecture Notes in Mathematics,. 0075-8434
- Lecture Notes in Mathematics, 0075-8434
- Language:
- English
- Subjects (All):
- Group theory.
- Geometry, Algebraic.
- Topological groups.
- Algebra.
- Group Theory and Generalizations.
- Algebraic Geometry.
- Topological Groups, Lie Groups.
- Non-associative Rings and Algebras.
- Local Subjects:
- Group Theory and Generalizations.
- Algebraic Geometry.
- Topological Groups, Lie Groups.
- Non-associative Rings and Algebras.
- Physical Description:
- 1 online resource (XVI, 212 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- Prerequisites
- Extensions
- Groups of Extreme Nilpotency Class
- Chains
- Groups with Few Types of Isogenous Factors
- Three-Dimensional Affine Groups
- Normality of Subgroups.
- Other Format:
- Printed edition:
- ISBN:
- 9783540785842
- Access Restriction:
- Restricted for use by site license.
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