000			02042nmm a2200169Ia 4500
008			220920s9999||||xx |||||||||||||| ||und||
020			_a9780486653778
082			_a512.86 _bSc86G
100			_aScott, W. R. _eAuthor _lEnglish _9842
245		0	_aGroup Theory _c/ by W. R. Scott. _h[Electronic Resource]
260			_aNewburyport _b: Dover Publications, _c2012
520			_aWell-organized and clearly written, this undergraduate-level text covers most of the standard basic theorems in group theory, providing proofs of the basic theorems of both finite and infinite groups and developing as much of their superstructure as space permits. Contents include: Isomorphism Theorems, Direct Sums, p-Groups and p-Subgroups, Free Groups and Free Products, Permutation Groups, Transformations and Subgroups, Abelian Groups, Supersolvable Groups, Extensions, Representations, and more. The concluding chapters also cover a wide variety of further theorems, some not previously published in book form, including infinite symmetric and alternating groups, products of subgroups, the multiplicative group of a division ring, and FC groups.Over 500 exercises in varying degrees of difficulty enable students to test their grasp of the material, which is largely self-contained (except for later chapters which presuppose some knowledge of linear algebra, polynomials, algebraic integers, and elementary number theory). Also included are a bibliography, index, and an index of notation. Ideal as a text or for reference, this inexpensive paperbound edition of Group Theory offers mathematics students a lucid, highly useful introduction to an increasingly vital mathematical discipline. It will be welcomed by anyone in search of a cogent, thorough presentation that lends itself equally well to self-study or regular course work.
650			_aGroup Theory _9392
650			_aMathematics _913
856			_uhttp://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1152567 _qPDF _yClick to Access the Online Book
942			_cEBK _nYes
999			_c11954 _d11954