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010   $a3-540-78584-1
024 7 $a10.1007/978-3-540-78584-2
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035   $a(DE-He213)978-3-540-78584-2
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035   $a(PPN)12521846X
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100   $a20100301d2008      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAlgebraic Groups and Lie Groups with Few Factors$b[electronic resource] /$fby Alfonso Di Bartolo, Giovanni Falcone, Peter Plaumann, Karl Strambach
205   $a1st ed. 2008.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008.
215   $a1 online resource (XVI, 212 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-78583-3 
320   $aIncludes bibliographical references and index.
327   $aPrerequisites -- Extensions -- Groups of Extreme Nilpotency Class -- Chains -- Groups with Few Types of Isogenous Factors -- Three-Dimensional Affine Groups -- Normality of Subgroups.
330   $aAlgebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
410  0$aLecture Notes in Mathematics,$x0075-8434
606   $aGroup theory
606   $aAlgebraic geometry
606   $aTopological groups
606   $aLie groups
606   $aNonassociative rings
606   $aRings (Algebra)
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116
615  0$aGroup theory.
615  0$aAlgebraic geometry.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aNonassociative rings.
615  0$aRings (Algebra).
615 14$aGroup Theory and Generalizations.
615 24$aAlgebraic Geometry.
615 24$aTopological Groups, Lie Groups.
615 24$aNon-associative Rings and Algebras.
676   $a516.35
700   $aDi Bartolo$b Alfonso$4aut$4http://id.loc.gov/vocabulary/relators/aut$0504067
702   $aFalcone$b Giovanni$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aPlaumann$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aStrambach$b Karl$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466374903316
996   $aAlgebraic Groups and Lie Groups with Few Factors$92831405
997   $aUNISA