000 | 03334nam a22005535i 4500 | ||
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001 | 978-3-540-78584-2 | ||
003 | DE-He213 | ||
005 | 20190213151818.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 gw | s |||| 0|eng d | ||
020 |
_a9783540785842 _9978-3-540-78584-2 |
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024 | 7 |
_a10.1007/978-3-540-78584-2 _2doi |
|
050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
072 | 7 |
_aPBG _2thema |
|
082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aBartolo, Alfonso Di. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAlgebraic Groups and Lie Groups with Few Factors _h[electronic resource] / _cby Alfonso Di Bartolo, Giovanni Falcone, Peter Plaumann, Karl Strambach. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
|
300 |
_aXVI, 212 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 |
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505 | 0 | _aPrerequisites -- Extensions -- Groups of Extreme Nilpotency Class -- Chains -- Groups with Few Types of Isogenous Factors -- Three-Dimensional Affine Groups -- Normality of Subgroups. | |
520 | _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. | ||
650 | 0 | _aGroup theory. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aNon-associative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11116 |
700 | 1 |
_aFalcone, Giovanni. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aPlaumann, Peter. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aStrambach, Karl. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540849315 |
776 | 0 | 8 |
_iPrinted edition: _z9783540785835 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-78584-2 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11961 _d11961 |