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Author : T. Yamada
Publisher : Springer
ISBN 13 : 3540377336
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Schur Subgroup of the Brauer Group written by T. Yamada and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Toshihiko Yamada
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (369 download)
Download or read book Schur Subgroup of the Brauer Group written by Toshihiko Yamada and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James William Pendergrass
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (836 download)
Download or read book The Schur Subgroup of the Brauer Group written by James William Pendergrass and published by . This book was released on 1975 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387068060
Total Pages : 201 pages
Book Rating : 4.0/5 (68 download)
Download or read book The Pontryagin Duality of Compact O-dimensional Semilattices and Its Applications written by and published by . This book was released on 1964 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Celia Witten
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book The Schur Subgroup of the Brauer Group written by Celia Witten and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Nelis
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)
Download or read book The Projective Schur Subgroup of the Brauer Group and Root Groups of Finite Groups written by P. Nelis and published by . This book was released on 1989 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. van Oystaeyen
Publisher : Springer
ISBN 13 : 354039057X
Total Pages : 312 pages
Book Rating : 4.5/5 (43 download)
Download or read book Brauer Groups in Ring Theory and Algebraic Geometry written by F. van Oystaeyen and published by Springer. This book was released on 2006-11-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alejandro Adem
Publisher : Springer Science & Business Media
ISBN 13 : 3662062801
Total Pages : 329 pages
Book Rating : 4.6/5 (62 download)
Download or read book Cohomology of Finite Groups written by Alejandro Adem and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups of a space X. For example, if the universal cover of X was three connected, it was known that H2(X; A. ) depends only on the fundamental group of X. Group cohomology initially appeared to explain this dependence. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field. It also arose naturally in the study of group extensions, N
Author : Jean-Louis Colliot-Thélène
Publisher : Springer Nature
ISBN 13 : 3030742482
Total Pages : 450 pages
Book Rating : 4.0/5 (37 download)
Download or read book The Brauer–Grothendieck Group written by Jean-Louis Colliot-Thélène and published by Springer Nature. This book was released on 2021-07-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.
Author :
Publisher : Elsevier
ISBN 13 : 0080872913
Total Pages : 925 pages
Book Rating : 4.0/5 (88 download)
Download or read book Group Representations written by and published by Elsevier. This book was released on 1994-02-18 with total page 925 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups. The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theory for group algebras. The volume ends with a detailed investigation of the Schur index for ordinary representations. A prominant role is played in the discussion by Brauer groups together with cyclotomic algebras and cyclic algebras.
Author : Eric Jespers
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110411504
Total Pages : 228 pages
Book Rating : 4.1/5 (14 download)
Download or read book Structure Theorems of Unit Groups written by Eric Jespers and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-13 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Author : Carl R. Riehm
Publisher : American Mathematical Soc.
ISBN 13 : 0821885952
Total Pages : 305 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Orthogonal, Symplectic, and Unitary Representations of Finite Groups written by Carl R. Riehm and published by American Mathematical Soc.. This book was released on with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vyacheslav L. Girko
Publisher : Academic Press
ISBN 13 : 0080873855
Total Pages : 317 pages
Book Rating : 4.0/5 (88 download)
Download or read book Spectral Theory of Random Matrices written by Vyacheslav L. Girko and published by Academic Press. This book was released on 2016-08-23 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Random Matrices
Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 0080532969
Total Pages : 899 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1979-04 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Feit
Publisher : Elsevier
ISBN 13 : 0080960138
Total Pages : 517 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Representation Theory of Finite Groups written by W. Feit and published by Elsevier. This book was released on 1982-05-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Representation Theory of Finite Groups
Author : Eric Jespers
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110372940
Total Pages : 460 pages
Book Rating : 4.1/5 (13 download)
Download or read book Orders and Generic Constructions of Units written by Eric Jespers and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-13 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
