02706nam 2200577 a 450 991048431240332120200520144314.03-540-78584-110.1007/978-3-540-78584-2(CKB)1000000000437230(SSID)ssj0000316137(PQKBManifestationID)11232666(PQKBTitleCode)TC0000316137(PQKBWorkID)10263640(PQKB)10023668(DE-He213)978-3-540-78584-2(MiAaPQ)EBC3068748(PPN)12521846X(EXLCZ)99100000000043723020080129d2008 uy 0engurnn|008mamaatxtccrAlgebraic groups and lie groups with few factors /Alfonso Di Bartolo ... [et al.]1st ed. 2008.Berlin Springer20081 online resource (XVI, 212 p.)Lecture notes in mathematics,0075-8434 ;1944Bibliographic Level Mode of Issuance: Monograph3-540-78583-3 Includes bibliographical references and index.Prerequisites -- Extensions -- Groups of Extreme Nilpotency Class -- Chains -- Groups with Few Types of Isogenous Factors -- Three-Dimensional Affine Groups -- Normality of Subgroups.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.Lecture notes in mathematics (Springer-Verlag) ;1944.Linear algebraic groupsLie groupsGroup theoryLinear algebraic groups.Lie groups.Group theory.516.35Di Bartolo Alfonso504067MiAaPQMiAaPQMiAaPQBOOK9910484312403321Algebraic Groups and Lie Groups with Few Factors2831405UNINA