Algebraic Groups and Lie Groups with Few Factors

• Main Authors: Bartolo, Alfonso Di (Author), Falcone, Giovanni (Author), Plaumann, Peter (Author), Strambach, Karl (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1944
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Group Theory and Generalizations.; Algebraic Geometry.; Topological Groups, Lie Groups.; Non-associative Rings and Algebras.

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...

Table of Contents:

• Prerequisites
• Extensions
• Groups of Extreme Nilpotency Class
• Chains
• Groups with Few Types of Isogenous Factors
• Three-Dimensional Affine Groups
• Normality of Subgroups.