LEADER 02761nam 2200601 a 450 001 9910484312403321 005 20200520144314.0 010 $a9783540785842 010 $a3540785841 024 7 $a10.1007/978-3-540-78584-2 035 $a(CKB)1000000000437230 035 $a(SSID)ssj0000316137 035 $a(PQKBManifestationID)11232666 035 $a(PQKBTitleCode)TC0000316137 035 $a(PQKBWorkID)10263640 035 $a(PQKB)10023668 035 $a(DE-He213)978-3-540-78584-2 035 $a(MiAaPQ)EBC3068748 035 $a(PPN)12521846X 035 $a(EXLCZ)991000000000437230 100 $a20080129d2008 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aAlgebraic groups and lie groups with few factors /$fAlfonso Di Bartolo ... [et al.] 205 $a1st ed. 2008. 210 $aBerlin $cSpringer$d2008 215 $a1 online resource (XVI, 212 p.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1944 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540785835 311 08$a3540785833 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 (Springer-Verlag) ;$v1944. 606 $aLinear algebraic groups 606 $aLie groups 606 $aGroup theory 615 0$aLinear algebraic groups. 615 0$aLie groups. 615 0$aGroup theory. 676 $a516.35 701 $aDi Bartolo$b Alfonso$0504067 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484312403321 996 $aAlgebraic Groups and Lie Groups with Few Factors$92831405 997 $aUNINA