000			02934nam a22005775i 4500
001			978-3-540-78584-2
003			DE-He213
005			20160302163739.0
007			cr nn 008mamaa
008			100301s2008 gw | s |||| 0|eng d
020			_a9783540785842 _9978-3-540-78584-2
024	7		_a10.1007/978-3-540-78584-2 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aBartolo, Alfonso Di. _eauthor.
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.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1944
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	_aMathematics.
650		0	_aAlgebraic geometry.
650		0	_aGroup theory.
650		0	_aNonassociative rings.
650		0	_aRings (Algebra).
650		0	_aTopological groups.
650		0	_aLie groups.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aNon-associative Rings and Algebras.
700	1		_aFalcone, Giovanni. _eauthor.
700	1		_aPlaumann, Peter. _eauthor.
700	1		_aStrambach, Karl. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540785835
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1944
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-78584-2
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c182043 _d182043