Infinite Group Rings
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Infinite Group Rings
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Author : Donald S. Passman
language : en
Publisher:
Release Date : 1971
Infinite Group Rings written by Donald S. Passman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
The algebraic study of group rings was initiated in 1949 by I. Kaplansky. The subject has been pursued by a small but growing number of researchers, and has reached a point in its development where a coherent account of the basic results is needed. That is the goal of this text. The topics covered are selective, with material balanced between ring theory and group theory, and a basic one year course in algebra should provide sufficient background for readers.
The Algebraic Structure Of Group Rings
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Author : Donald S. Passman
language : en
Publisher: Courier Corporation
Release Date : 2011-01-01
The Algebraic Structure Of Group Rings written by Donald S. Passman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--
Infinite Groups And Group Rings
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Author : J M Corson
language : en
Publisher: World Scientific
Release Date : 1993-09-07
Infinite Groups And Group Rings written by J M Corson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-07 with categories.
This proceedings volume consists of contributed papers which deal with diverse topics ranging from logical questions to geometric methods and covering both integral group rings and group algebras. Some papers are research announcements, or of a descriptive nature, while others are research papers. Contents: On Maximal Subgroups of Infinite Groups (J C Beidleman & H Smith)Computer Investigations of Group Algebras (D B Coleman)On HNN-Groups Whose Three-Generator Subgroups are Free (B Fine et al.)Even More Model Theory of Free Groups (A M Gaglione & D Spellman)The Pullback Structure of Blocks with Cyclic Normal Defect Groups (L Klingler & J Haefner)Units of the Integral Group Ring of the Infinite Dihedral Group (F Levin & S Sehgal)The Geometry of PSL(2,Z[ω]) Automorphisms (J Meier)Semiprimitivity of Group Algebras of Locally Finite Groups (D S Passman)The Automorphism Group of a Virtual Direct Product of Groups (M R Pettet)On Infinite Solvable Groups (A Rhemtulla & H Smith)Groups with Triple Factorizations by Abelian Groups (D J S Robinson & S E Stonehewer)A Short Survey on Vertical Heegaard Decompositions of Seifert Fibered Spaces and Nielsen Equivalence in Fuchsian Groups (G Rosenberger & H Terhorst)On the Seventh Lie Dimension Subgroups (K-I Tahara & J Xiao)Aspects of Infinite Symmetric Groups (S Thomas)and other papers Readership: Mathematicians. keywords:Proceedings;Infinite Groups;Group Rings;Tuscaloosa, AL (USA);AMS
Group Rings Crossed Products And Galois Theory
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Author : Donald S. Passman
language : en
Publisher:
Release Date : 1986
Group Rings Crossed Products And Galois Theory written by Donald S. Passman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
For readers with a basic graduate level background in algebra, these ten articles provide a readable introduction to three major interrelated subjects of noncommutative algebra. The theme is the interplay between group theory and ring theory, dealing specifically with group rings, crossed products, and the Galois theory of rings. The author has carefully included most definitions, to keep the required background minimal. Furthermore, each article contains a selection of results on the given topic, a limited number of proofs or sketches, and at least a few open problems.
Groups Rings And Group Rings
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Author : A. Giambruno
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Groups Rings And Group Rings written by A. Giambruno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.
Units In Integral Group Rings
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Author : Sudarshan K. Sehgal
language : en
Publisher: Halsted Press
Release Date : 1993-10-01
Units In Integral Group Rings written by Sudarshan K. Sehgal and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-01 with categories.
Infinite Group Theory From The Past To The Future
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Author : Fine Benjamin
language : en
Publisher: World Scientific
Release Date : 2017-12-26
Infinite Group Theory From The Past To The Future written by Fine Benjamin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-26 with Mathematics categories.
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest. Contents: Groups with the Weak Minimal Condition on Non-Permutable Subgroups (Laxmi K Chatuat and Martyn R Dixon)A Survey: Shamir Threshold Scheme and Its Enhancements (Chi Sing Chum, Benjamin Fine, and Xiaowen Zhang)The Zappa-Szep Product of Left-Orderable Groups (Fabienne Chouraqui)Totally Disconnected Groups From Baumslag-Solitar Groups (Murray Elder and George Willis)Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups (B Fine, A M Gaglione, and D Spellman)Commutative Transitivity and the CSA Property (Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman)The Universal Theory of Free Burnside Groups of Large Prime Exponent (Anthony M Gaglione, Seymour Lipschutz, and Dennis Spellman)Primitive Curve Lengths on Pairs of Pants (Jane Gilman)Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory (Gabriele Kern-Isberner, Marco Wilhelm, and Christoph Beierle)On Some Infinite-Dimensional Linear Groups and the Structure of Related Modules (L A Kurdachenko and I Ya Subbotin)On New Analogs of Some Classical Group Theoretical Results in Lie Rings (L A Kurdachenko, A A Pypka and I Ya Subbotin)Log-Space Complexity of the Conjugacy Problem in Wreath Products (Alexei Myasnikov, Svetla Vassileva, and Armin Weiss)Group Presentations, Cayley Graphs and Markov Processes (Peter Olszewski) Readership: Graduate students and researchers in group theory. Keywords: Infinite Group Theory;Combinatorial Group Theory;Geometric Group TheoryReview: Key Features: This book is centered on infinite group theory from a combinatorial and geometric point of view. It also contains material on non-commutative algebraic group-based cryptography
The Theory Of Infinite Soluble Groups
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Author : John C. Lennox
language : en
Publisher: Clarendon Press
Release Date : 2004-08-19
The Theory Of Infinite Soluble Groups written by John C. Lennox and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Mathematics categories.
The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, whilst remaining fairly strictly within the boundaries of soluble group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.
Infinite Crossed Products
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Author : Donald S. Passman
language : en
Publisher: Courier Corporation
Release Date : 2013-06-19
Infinite Crossed Products written by Donald S. Passman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-19 with Mathematics categories.
"This groundbreaking monograph in advanced algebra addresses crossed products, which involve group and ring theory. According to the author's Preface,crossed products have advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings. 1989 edition"--
Group And Semigroup Rings
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Author : G. Karpilovsky
language : en
Publisher: Elsevier
Release Date : 2011-09-22
Group And Semigroup Rings written by G. Karpilovsky and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.