Algebraic groups and Lie groups with few factors
Author(s)
Bibliographic Information
Algebraic groups and Lie groups with few factors
（Lecture notes in mathematics, 1944）
Springer, c2008
Available at / 53 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1944200005153883
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Note
Includes bibliographical references (p. [199]-203) and index
Description and Table of Contents
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.
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.
by "Nielsen BookData"
