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Group Ring Groups Orders And Generic Constructions Of Units
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Book Synopsis Group Ring Groups: Orders and generic constructions of units by : Eric Jespers
Download or read book Group Ring Groups: Orders and generic constructions of units written by Eric Jespers and published by de Gruyter. This book was released on 2016 with total page 0 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.
Book Synopsis Group Ring Groups, 1: Orders and Generic Constructions of Units by :
Download or read book Group Ring Groups, 1: Orders and Generic Constructions of Units written by and published by . This book was released on 2015 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Group Ring Groups written by Eric Jespers and published by De Gruyter Textbook. This book was released on 2016 with total page 0 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.
Book Synopsis Orders and Generic Constructions of Units by : Eric Jespers
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.
Book Synopsis Complementation of Normal Subgroups by : Joseph Kirtland
Download or read book Complementation of Normal Subgroups written by Joseph Kirtland and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented
Book Synopsis Structure Theorems of Unit Groups by : Eric Jespers
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.
Book Synopsis Group Theory and Computation by : N.S. Narasimha Sastry
Download or read book Group Theory and Computation written by N.S. Narasimha Sastry and published by Springer. This book was released on 2018-09-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Book Synopsis Structure Theorems of Unit Groups by : Eric Jespers
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 275 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.
Book Synopsis Groups, Rings and Group Rings by : Antonio Giambruno
Download or read book Groups, Rings and Group Rings written by Antonio Giambruno and published by CRC Press. This book was released on 2006-01-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f
Book Synopsis Revista Matemática Iberoamericana by :
Download or read book Revista Matemática Iberoamericana written by and published by . This book was released on 2017 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by : Gebhard Böckle
Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.
Book Synopsis Unit Groups of Classical Rings by : Gregory Karpilovsky
Download or read book Unit Groups of Classical Rings written by Gregory Karpilovsky and published by . This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included. The text is distinguished by its very clear exposition.
Book Synopsis Group Identities on Units and Symmetric Units of Group Rings by : Gregory T Lee
Download or read book Group Identities on Units and Symmetric Units of Group Rings written by Gregory T Lee and published by Springer Science & Business Media. This book was released on 2010-08-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.
Book Synopsis Unit Groups of Group Rings by : Gregory Karpilovsky
Download or read book Unit Groups of Group Rings written by Gregory Karpilovsky and published by Longman Scientific and Technical. This book was released on 1989 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Units in Integral Group Rings by : Sudarshan K. Sehgal
Download or read book Units in Integral Group Rings written by Sudarshan K. Sehgal and published by Halsted Press. This book was released on 1993-10-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Cryptology - EUROCRYPT 2002 by : Lars Knudsen
Download or read book Advances in Cryptology - EUROCRYPT 2002 written by Lars Knudsen and published by Springer Science & Business Media. This book was released on 2002-04-17 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on the Theory and Application of Cryptographic Techniques, EUROCRYPT 2002, held in Amsterdam, The Netherlands, in April/May 2002. The 33 revised full papers presented were carefully reviewed and selected from a total of 122 submissions. The papers are organized in topical sections on cryptanalysis, public-key encryption, information theory and new models, implementational analysis, stream ciphers, digital signatures, key exchange, modes of operation, traitor tracing and id-based encryption, multiparty and multicast, and symmetric cryptology.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1955 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
