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Galois Module Structure In Wild Extensions Of The Rationale Function Field
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Book Synopsis Galois Module Structure in Wild Extensions of the Rational Function Field by : Raymond Miller
Download or read book Galois Module Structure in Wild Extensions of the Rational Function Field written by Raymond Miller and published by . This book was released on 1997 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Module Structure in Wild Extensions of the Rationale Function Field by : Raymond Miller
Download or read book Galois Module Structure in Wild Extensions of the Rationale Function Field written by Raymond Miller and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiplicative Galois Module Structure by : Alfred Weiss
Download or read book Multiplicative Galois Module Structure written by Alfred Weiss and published by American Mathematical Soc.. This book was released on 1996 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is the result of a short course on the Galois structure of S -units that was given at The Fields Institute in the autumn of 1993. Offering a new angle on an old problem, the main theme is that this structure should be determined by class field theory, in its cohomological form, and by the behaviour of Artin L -functions at s = 0. A proof of this - or even a precise formulation - is still far away, but the available evidence all points in this direction. The work brings together the current evidence that the Galois structure of S -units can be described. This is intended for graduate students and research mathematicians, specifically algebraic number theorists.
Book Synopsis Galois Module Structure by : Victor Percy Snaith
Download or read book Galois Module Structure written by Victor Percy Snaith and published by American Mathematical Soc.. This book was released on 1994 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galois module structure deals with the construction of algebraic invariants from a Galois extension of number fields with group $G$. This title addresses the Chinburg conjectures. It provides the background in algebraic and analytic number theory, cohomology, representation theory, and Hom-descriptions.
Book Synopsis Publications mathématiques de Besançon N° 1/2010 by : Patrick Hild
Download or read book Publications mathématiques de Besançon N° 1/2010 written by Patrick Hild and published by Presses Univ. Franche-Comté. This book was released on 2010-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Module Structure of Algebraic Integers by : A. Fröhlich
Download or read book Galois Module Structure of Algebraic Integers written by A. Fröhlich and published by Springer. This book was released on 2011-12-07 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we present a survey of the theory of Galois module structure for rings of algebraic integers. This theory has experienced a rapid growth in the last ten to twelve years, acquiring mathematical depth and significance and leading to new insights also in other branches of algebraic number theory. The decisive take-off point was the discovery of its connection with Artin L-functions. We shall concentrate on the topic which has been at the centre of this development, namely the global module structure for tame Galois extensions of numberfields -in other words of extensions with trivial local module structure. The basic problem can be stated in down to earth terms: the nature of the obstruction to the existence of a free basis over the integral group ring ("normal integral basis"). Here a definitive pattern of a theory has emerged, central problems have been solved, and a stage has clearly been reached when a systematic account has become both possible and desirable. Of course, the solution of one set of problems has led to new questions and it will be our aim also to discuss some of these. We hope to help the reader early on to an understanding of the basic structure of our theory and of its central theme, and to motivate at each successive stage the introduction of new concepts and new tools.
Book Synopsis Galois Module Structure of Algebraic Integers by : A. Fröhlich
Download or read book Galois Module Structure of Algebraic Integers written by A. Fröhlich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we present a survey of the theory of Galois module structure for rings of algebraic integers. This theory has experienced a rapid growth in the last ten to twelve years, acquiring mathematical depth and significance and leading to new insights also in other branches of algebraic number theory. The decisive take-off point was the discovery of its connection with Artin L-functions. We shall concentrate on the topic which has been at the centre of this development, namely the global module structure for tame Galois extensions of numberfields -in other words of extensions with trivial local module structure. The basic problem can be stated in down to earth terms: the nature of the obstruction to the existence of a free basis over the integral group ring ("normal integral basis"). Here a definitive pattern of a theory has emerged, central problems have been solved, and a stage has clearly been reached when a systematic account has become both possible and desirable. Of course, the solution of one set of problems has led to new questions and it will be our aim also to discuss some of these. We hope to help the reader early on to an understanding of the basic structure of our theory and of its central theme, and to motivate at each successive stage the introduction of new concepts and new tools.
Book Synopsis Galois Module Structure for Artin-Schreier Theory Over Bicyclic Extensions by : Lauren Heller
Download or read book Galois Module Structure for Artin-Schreier Theory Over Bicyclic Extensions written by Lauren Heller and published by . This book was released on 2017 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: If K/F is a Galois field extension with Galois group of prime power order distinct from char(F), then Gal(K/F) acts on pth power classes of K. The structure of the resulting module is known for Gal(K/F) isomorphic to a cyclic group of prime power order or the Klein 4-group. We use Artin-Schreier theory to produce a similar decomposition for characteristic p extensions with bicyclic Galois groups of exponent p.
Book Synopsis Introduction to Galois Theory by : Simone Malacrida
Download or read book Introduction to Galois Theory written by Simone Malacrida and published by Simone Malacrida. This book was released on 2022-12-19 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following topics are presented in this book: symmetric polynomials, symmetric functions, symmetric relations and Cauchy modules Galois group and Galois theory of equations binomial equations and fundamental theorem inverse Galois problem and Ruffini-Abel theorem resolutions of second, third, and fourth degree equations and monodromy
Book Synopsis Galois Module Structure of Lubin-Tate Modules by : Sebastian Tomaskovic-Moore
Download or read book Galois Module Structure of Lubin-Tate Modules written by Sebastian Tomaskovic-Moore and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let L/K be a finite, Galois extension of local or global fields. In the classical setting of additive Galois modules, the ring of integers OL of L is studied as a module for the group ring OKG, where G is the Galois group of L/K. When K is a p-adic field, we also find a structure of OKG module when we replace OL with the group of points in OL of a Lubin-Tate formal group defined over K. For this new Galois module we find an analogue of the normal basis theorem. When K is a proper unramified extension of Qp , we show that some eigenspaces for the Teichmüller character are not free. We also adapt certain cases of E. Noether's result on normal integral bases for tame extensions. Finally, for wild extensions we define a version of Leopoldt's associated order and demonstrate in a specific case that it is strictly larger than the integral group ring.
Book Synopsis Galois Module Structure in Global Function Fields by : Robin John Chapman
Download or read book Galois Module Structure in Global Function Fields written by Robin John Chapman and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards by :
Download or read book Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards written by and published by . This book was released on 2003 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Module Structure of Rings of Integers and Automorphism Groups of Congruence Function Fields by : Martha Rzedowski-Calderón
Download or read book Galois Module Structure of Rings of Integers and Automorphism Groups of Congruence Function Fields written by Martha Rzedowski-Calderón and published by . This book was released on 1988 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Module Structure of the Integers of E - Extensions by : Martin John Taylor
Download or read book Galois Module Structure of the Integers of E - Extensions written by Martin John Taylor and published by . This book was released on 1977 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Galois Theory by : Mikhail Mikhaĭlovich Postnikov
Download or read book Foundations of Galois Theory written by Mikhail Mikhaĭlovich Postnikov and published by . This book was released on 1962 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Galois Module Structure of the Integers in Wildly Ramified Extensions by : Gove Griffith Elder
Download or read book The Galois Module Structure of the Integers in Wildly Ramified Extensions written by Gove Griffith Elder and published by . This book was released on 1993 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galois Module Structure of Algebraic Integers by : Albrecht Fröhlich
Download or read book Galois Module Structure of Algebraic Integers written by Albrecht Fröhlich and published by Springer. This book was released on 1983 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: