000			02069nam a22002777a 4500
003			OSt
005			20250429200321.0
008			250429b |||||||| |||| 00| 0 hin d
020			_a9783111700687
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.54 _bJES-G
100	1		_aJespers, Eric
245	1	0	_aGroup ring groups, volume 1 : _corders and generic constructions of units
260			_aBerlin : _bDe Gruyter, _c2025.
300			_axii, 447 pages ; _c24 cm.
490	0		_aDe Gruyter graduate
504			_aIncludes bibliographical references and indexes.
520			_aThis two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background. Elementary techniques are introduced to built up an intuition for the topic Gives an overview and structure to a vibrant field of mathematics
650		0	_aGroup rings _vTextbooks.
650		0	_aUnit groups (Ring theory) _vTextbooks.
650		0	_aRings (Algebra) _vTextbooks
700	1		_aRío, Ángel del
856			_3Table of content _uhttps://www.degruyterbrill.com/document/doi/10.1515/9783110372946-toc/pdf
856			_3Reviews _uhttps://www.goodreads.com/book/show/27183752-orders-and-generic-constructions-of-units?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cN
999			_c36022 _d36022