000			03411nam a22005175i 4500
001			978-1-84882-889-6
003			DE-He213
005			20160615111948.0
007			cr nn 008mamaa
008			100301s2009 xxk| s |||| 0|eng d
020			_a9781848828896 _9978-1-84882-889-6
024	7		_a10.1007/978-1-84882-889-6 _2doi
049			_aAlfaisal Main Library
050		4	_aQA150-272
072		7	_aPBF _2bicssc
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512 _223
100	1		_aRose, H.E. _eauthor.
245	1	2	_aA Course on Finite Groups _h[electronic resource] / _cby H.E. Rose.
264		1	_aLondon : _bSpringer London, _c2009.
300			_aXII, 311 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
505	0		_aIntroduction—The Group Concept -- Elementary Group Properties -- Group Construction and Representation -- Homomorphisms -- Action and the Orbit–Stabiliser Theorem -- -Groups and Sylow Theory -- Products and Abelian Groups -- Groups of Order 24 Three Examples -- Series, Jordan–Hölder Theorem and the Extension Problem -- Nilpotency -- Solubility -- Simple Groups of Order Less than 10000 -- Appendices A to E.
520			_aA Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: group constructions; homomorphisms and isomorphisms; actions; Sylow theory; products and Abelian groups; series; nilpotent and soluble groups; and an introduction to the classification of the finite simple groups. A number of groups are described in detail and the reader is encouraged to work with one of the many computer algebra packages available to construct and experience "actual" groups for themselves in order to develop a deeper understanding of the theory and the significance of the theorems. Numerous problems, of varying levels of difficulty, help to test understanding. A brief resumé of the basic set theory and number theory required for the text is provided in an appendix, and a wealth of extra resources is available online at www.springer.com, including: hints and/or full solutions to all of the exercises; extension material for many of the chapters, covering more challenging topics and results for further study; and two additional chapters providing an introduction to group representation theory.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aGroup theory.
650		0	_aScience education.
650	1	4	_aMathematics.
650	2	4	_aAlgebra.
650	2	4	_aScience Education.
650	2	4	_aGroup Theory and Generalizations.
655		7	_aElectronic books. _2local
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781848828889
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-1-84882-889-6
912			_aZDB-2-SMA
942			_2lcc _cEBOOKS
999			_c296907 _d296907