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Characters Of Groups And Lattices Over Orders
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Book Synopsis Characters of Groups and Lattices over Orders by : Alexander Zimmermann
Download or read book Characters of Groups and Lattices over Orders written by Alexander Zimmermann and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of finite groups. After the introduction to simple modules allowing a non degenerate invariant bilinear form in any characteristic the author illustrates step by step the approach given by Sin and Willems. Dirichlet characters and results on primes in arithmetic progressions are given as applications.
Book Synopsis Lattices over Orders I by : Klaus W. Roggenkamp
Download or read book Lattices over Orders I written by Klaus W. Roggenkamp and published by Springer. This book was released on 2006-11-15 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Characters of Groups and Lattices Over Orders by : Alexander Zimmermann
Download or read book Characters of Groups and Lattices Over Orders written by Alexander Zimmermann and published by de Gruyter. This book was released on 2021-12-20 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of finite groups. After the introduction to simple modules allowing a non degenerate invariant bilinear form in any characteristic the author illustrates step by step the approach given by Sin and Willems. Dirichlet characters and results on primes in arithmetic progressions are given as applications.
Book Synopsis Lattices Over Orders by : Klaus W. Roggenkamp
Download or read book Lattices Over Orders written by Klaus W. Roggenkamp and published by . This book was released on 1970 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb
Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Book Synopsis Representation Theory of Finite Groups and Related Topics by : Irving Reiner
Download or read book Representation Theory of Finite Groups and Related Topics written by Irving Reiner and published by American Mathematical Soc.. This book was released on 1971 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This symposium, on Representation Theory of Finite Groups and Related Topics, was held in conjunction with a sectional meeting of the American Mathematical Society, and in honor of professor Richard Brauer. Dr. Brauer's fundamental work in representation theory is at the heart of many further developments in the topic. These proceedings contain the articles of participants, based on their symposium presentations, and indicate the scope of current research in representation theory.
Book Synopsis Lattices over Orders II by : Klaus W. Roggenkamp
Download or read book Lattices over Orders II written by Klaus W. Roggenkamp and published by Springer. This book was released on 2006-11-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups of Prime Power Order. Volume 4 by : Yakov G. Berkovich
Download or read book Groups of Prime Power Order. Volume 4 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-14 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa’s theorem on p-groups with two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.
Book Synopsis A General Character Theory for Partially Ordered Sets and Lattices by : Karl Heinrich Hofmann
Download or read book A General Character Theory for Partially Ordered Sets and Lattices written by Karl Heinrich Hofmann and published by American Mathematical Soc.. This book was released on 1972 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summaries of Projects Completed in Fiscal Year ... by :
Download or read book Summaries of Projects Completed in Fiscal Year ... written by and published by . This book was released on with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summaries of Projects Completed by : National Science Foundation (U.S.)
Download or read book Summaries of Projects Completed written by National Science Foundation (U.S.) and published by . This book was released on with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summaries of Projects Completed in Fiscal Year ... by : National Science Foundation (U.S.)
Download or read book Summaries of Projects Completed in Fiscal Year ... written by National Science Foundation (U.S.) and published by . This book was released on 1979 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonal Decompositions and Integral Lattices by : Alexei Kostrikin
Download or read book Orthogonal Decompositions and Integral Lattices written by Alexei Kostrikin and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Book Synopsis Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984 by : Vlastimil Dlab
Download or read book Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984 written by Vlastimil Dlab and published by Springer. This book was released on 2006-11-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Second International Conference on the Theory of Groups by : M.F. Newman
Download or read book Proceedings of the Second International Conference on the Theory of Groups written by M.F. Newman and published by Springer. This book was released on 2013-12-11 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems. The manuscripts were typed by Mrs Geary, the bulk of the bibliographie work was done by Mrs Pinkerton, and a number of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, Pride, Rangaswamy and Stewart. I here reeord my thanks to all these people for their lightening of the editorial burden. M.F. Newrnan CONTENTS 1 Introduction . . 8 yan, Periodic groups of odd exponent Reinhold Baer, Einbettungseigenschaften von Normalteilern: der Schluss vom 13 Endlichen aufs Unendliche D.W. Barnes, Characterisation of the groups with the Gaschutz cohomology property 63 Gi Ibert Baumslag, Finitely presented metabe1ian groups 65 Gi Ibert Baumslag, Some problems on one-relator groups 75 A.J. Ba, J. Kautsky and J.W. Wamsley, Computation in nilpotent groups (application) 82 Wi I I iam W. Boone, Between logic and group theory 90 Richard Brauer, On the structure of blocks of characters of finite groups 103 A.M. Brunner, Transitivity-systems of certain one-relator groups 131 Egg8r M. Bryant, Characteristic subgroups of free groups 141 y, Metabe1ian varieties of groups 150 R.A. Bryce and John Cossey, Subdirect product c10sed Fitting c1asses 158 R.G."
Book Synopsis Representation Theory II by : V. Dlab
Download or read book Representation Theory II written by V. Dlab and published by Springer. This book was released on 2006-11-15 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perfect Lattices in Euclidean Spaces by : Jacques Martinet
Download or read book Perfect Lattices in Euclidean Spaces written by Jacques Martinet and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3. This book thus discusses a beautiful and central problem in mathematics, which involves geometry, number theory, coding theory and group theory, centering on the study of extreme lattices, i.e. those on which the density attains a local maximum, and on the so-called perfection property. Written by a leader in the field, it is closely related to, though disjoint in content from, the classic book by J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, published in the same series as vol. 290. Every chapter except the first and the last contains numerous exercises. For simplicity those chapters involving heavy computational methods contain only few exercises. It includes appendices on Semi-Simple Algebras and Quaternions and Strongly Perfect Lattices.
