Brauer Type Embedding Problems

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Brauer Type Embedding Problems

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Author : Arne Ledet
language : en
Publisher: American Mathematical Soc.
Release Date :

Brauer Type Embedding Problems written by Arne Ledet 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 with Mathematics categories.

This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. Before considering questions of reducing the embedding problems and reformulating the solvability criteria, the author provides the necessary theory of Brauer groups, group cohomology and quadratic forms. The book will be suitable for students seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.

Brauer Type Embedding Problems

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Author : Arne Ledet
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Brauer Type Embedding Problems written by Arne Ledet 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 2005 with Mathematics categories.

This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. The advantage of considering Brauer type embedding problems is their comparatively simple condition for solvability in the form of an obstruction in the Brauer group of the ground field. The book presupposes knowledge of classical Galois theory and the attendant algebra. Before considering questions of reducing the embedding problems and reformulating the solvability criteria, the author provides the necessary theory of Brauer groups, group cohomology and quadratic forms. The book will be suitable for students seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.

Generic Polynomials

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Author : Christian U. Jensen
language : en
Publisher: Cambridge University Press
Release Date : 2002-12-09

Generic Polynomials written by Christian U. Jensen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-09 with Mathematics categories.

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Function Theory

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Author : Eric T. Sawyer
language : en
Publisher: American Mathematical Soc.
Release Date :

Function Theory written by Eric T. Sawyer 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 with Mathematics categories.

Inverse Galois Theory

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Author : Gunter Malle
language : en
Publisher: Springer
Release Date : 2018-07-27

Inverse Galois Theory written by Gunter Malle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-27 with Mathematics categories.

A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.

Introduction To Orthogonal Symplectic And Unitary Representations Of Finite Groups

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Author : Carl R. Riehm
language : en
Publisher: American Mathematical Soc.
Release Date :

Introduction To Orthogonal Symplectic And Unitary Representations Of Finite Groups written by Carl R. Riehm 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 with Mathematics categories.

Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization

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Author : Levent Tunçel
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-05

Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization written by Levent Tunçel 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 2016-05-05 with Mathematics categories.

Since the early 1960s, polyhedral methods have played a central role in both the theory and practice of combinatorial optimization. Since the early 1990s, a new technique, semidefinite programming, has been increasingly applied to some combinatorial optimization problems. The semidefinite programming problem is the problem of optimizing a linear function of matrix variables, subject to finitely many linear inequalities and the positive semidefiniteness condition on some of the matrix variables. On certain problems, such as maximum cut, maximum satisfiability, maximum stable set and geometric representations of graphs, semidefinite programming techniques yield important new results. This monograph provides the necessary background to work with semidefinite optimization techniques, usually by drawing parallels to the development of polyhedral techniques and with a special focus on combinatorial optimization, graph theory and lift-and-project methods. It allows the reader to rigorously develop the necessary knowledge, tools and skills to work in the area that is at the intersection of combinatorial optimization and semidefinite optimization. A solid background in mathematics at the undergraduate level and some exposure to linear optimization are required. Some familiarity with computational complexity theory and the analysis of algorithms would be helpful. Readers with these prerequisites will appreciate the important open problems and exciting new directions as well as new connections to other areas in mathematical sciences that the book provides.

Coxeter Groups And Hopf Algebras

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Author : Marcelo Aguiar
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Coxeter Groups And Hopf Algebras written by Marcelo Aguiar 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 2006 with Education categories.

An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.

Modular Calabi Yau Threefolds

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Author : Christian Meyer
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Modular Calabi Yau Threefolds written by Christian Meyer 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 2005 with Mathematics categories.

"The main subject of this book is the connection between Calabi-Yau threefolds and modular forms. The book presents the general theory and brings together the known results. It studies hundreds of new examples of rigid and non-rigid modular Calabi-Yau threefolds and correspondences between them. Conjectures about the possible levels of modular forms connected with Calabi-Yau threefolds are presented. Tables of newforms of weight four and large levels are compiled and included in the appendix."--Jaquette.

Ottawa Lectures On Admissible Representations Of Reductive P Adic Groups

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Author : Clifton Cunningham
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-01-01

Ottawa Lectures On Admissible Representations Of Reductive P Adic Groups written by Clifton Cunningham 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 2009-01-01 with Mathematics categories.