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Author: Lee Klingler Publisher: American Mathematical Soc. ISBN: 0821823434 Category : Group rings Languages : en Pages : 138
Book Description
By using pullbacks, we obtain a description of finitely generated modules over the integral group ring of a non-abelian group of order [italic]pq. The description is detailed enough to obtain information about the behavior of the modules in direct sums. We make the description more precise by relating it to the locally free class group of the integral group ring.
Author: Lee Klingler Publisher: American Mathematical Soc. ISBN: 0821823434 Category : Group rings Languages : en Pages : 138
Book Description
By using pullbacks, we obtain a description of finitely generated modules over the integral group ring of a non-abelian group of order [italic]pq. The description is detailed enough to obtain information about the behavior of the modules in direct sums. We make the description more precise by relating it to the locally free class group of the integral group ring.
Author: Abrams Publisher: CRC Press ISBN: 9780824788025 Category : Mathematics Languages : en Pages : 352
Book Description
A collection of articles embodying the work presented at the 1991 Methods in Module Theory Conference at the University of Colorado at Colorado Springs - facilitating the explanation and cross-fertilization of new techniques that were developed to answer a variety of module-theoretic questions.
Author: M Droste Publisher: CRC Press ISBN: 1000725278 Category : Mathematics Languages : en Pages : 516
Book Description
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author: John F. Jardine Publisher: Springer Science & Business Media ISBN: 9400923996 Category : Mathematics Languages : en Pages : 563
Book Description
A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's well-known list of 1973, as well as a short list of new problems.
Author: Francis E A Johnson Publisher: World Scientific ISBN: 9811222770 Category : Mathematics Languages : en Pages : 372
Book Description
The D(2) problem is a fundamental problem in low dimensional topology. In broad terms, it asks when a three-dimensional space can be continuously deformed into a two-dimensional space without changing the essential algebraic properties of the spaces involved.The problem is parametrized by the fundamental group of the spaces involved; that is, each group G has its own D(2) problem whose difficulty varies considerably with the individual nature of G.This book solves the D(2) problem for a large, possibly infinite, number of finite metacyclic groups G(p, q). Prior to this the author had solved the D(2) problem for the groups G(p, 2). However, for q > 2, the only previously known solutions were for the groups G(7, 3), G(5, 4) and G(7, 6), all done by difficult direct calculation by two of the author's students, Jonathan Remez (2011) and Jason Vittis (2019).The method employed is heavily algebraic and involves precise analysis of the integral representation theory of G(p, q). Some noteworthy features are a new cancellation theory of modules (Chapters 10 and 11) and a simplified treatment (Chapters 5 and 12) of the author's theory of Swan homomorphisms.
Author: Lee Klingler
Author: Lee Klingler
Author: Lee Charles Klingler
Author: Abrams
Author: M Droste
Author: John F. Jardine
Author: Francis E A Johnson
Author: Lee Klingler
Author: 
Author: Vlastimil Dlab
Author: Vlastimil Dlab