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Titlebook: Algebraic Groups and Lie Groups with Few Factors; Alfonso Bartolo,Giovanni Falcone,Karl Strambach Book 2008 Springer-Verlag Berlin Heidelb

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期刊全称Algebraic Groups and Lie Groups with Few Factors
影响因子2023Alfonso Bartolo,Giovanni Falcone,Karl Strambach
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发行地址Includes supplementary material:
学科分类Lecture Notes in Mathematics
图书封面Titlebook: Algebraic Groups and Lie Groups with Few Factors;  Alfonso Bartolo,Giovanni Falcone,Karl Strambach Book 2008 Springer-Verlag Berlin Heidelb
影响因子.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..
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Normality of Subgroups, of .(see [87]). Observe that for algebraic subgroups .and .of .with .= ., the group .is an algebraic subgroup, too (see [45], 7.4 Corollary, p. 54)..For affine connected algebraic groups we can sharpen Theorem 1 in [87].
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Book 2008 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 fiel
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Environmental Science and Engineeringional points of three-dimensional connected unipotent algebraic groups, if the field k is infinite and perfect..By Corollary 4.2.10, if .2 and the three-dimensional unipotent group .is a chain, then . is one-dimensional, and we can refer to Theorem 4.3.1. Therefore in the present section we consider groups which are not chains.
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0075-8434 s 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 fiel
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