Group Rings and Class Groups
Fr. 72.90
inkl. gesetzl. MwSt.Beschreibung
Details
Einband
Taschenbuch
Erscheinungsdatum
31.03.1992
Verlag
Springer BaselSeitenzahl
210
Maße (L/B/H)
24.4/17/1.3 cm
The first part of the book centers around the isomorphism problem for finite groups; i.e. which properties of the finite group G can be determined by the integral group ring ZZG ? The authors have tried to present the results more or less selfcontained and in as much generality as possible concerning the ring of coefficients. In the first section, the class sum correspondence and some related results are derived. This part is the proof of the subgroup rigidity theorem (Scott - Roggenkamp; Weiss) which says that a finite subgroup of the p-adic integral group ring of a finite p-group is conjugate to a subgroup of the finite group. A counterexample to the conjecture of Zassenhaus that group basis are rationally conjugate, is presented in the semilocal situation (Scott - Roggenkamp). To this end, an extended version of Clifford theory for p-adic integral group rings is presented. Moreover, several examples are given to demonstrate the complexity of the isomorphism problem. The second part of the book is concerned with various aspects of the structure of rings of integers as Galois modules. It begins with a brief overview of major results in the area; thereafter the majority of the text focuses on the use of the theory of Hopf algebras. It begins with a thorough and detailed treatment of the required foundational material and concludes with new and interesting applications to cyclotomic theory and to elliptic curves with complex multiplication. Examples are used throughout both for motivation, and also to illustrate new ideas.
Weitere Bände von Oberwolfach Seminars
-
Zur Artikeldetailseite von Complex Differential Geometry des Autors S. Kobayashi
Band 3S. Kobayashi
Complex Differential GeometryBuch
Fr. 72.90
-
Zur Artikeldetailseite von Topics in the Geometry of Projective Space des Autors R. Lazarsfeld
Band 4R. Lazarsfeld
Topics in the Geometry of Projective SpaceBuch
Fr. 39.90
-
Zur Artikeldetailseite von Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics des Autors Y.-T. Siu
Band 8Y.-T. Siu
Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein MetricsBuch
Fr. 119.00
-
Zur Artikeldetailseite von Seminar on Empirical Processes des Autors P. Gaenssler
Band 9P. Gaenssler
Seminar on Empirical ProcessesBuch
Fr. 72.90
-
Zur Artikeldetailseite von Nonlinear Methods in Riemannian and Kählerian Geometry des Autors J. Jost
Band 10J. Jost
Nonlinear Methods in Riemannian and Kählerian GeometryeBook
Fr. 44.90
-
Zur Artikeldetailseite von Surgery Theory and Geometry of Representations des Autors T. Tom Dieck
Band 11T. Tom Dieck
Surgery Theory and Geometry of RepresentationsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Introduction to Coding Theory and Algebraic Geometry des Autors J. van Lint
Band 12J. van Lint
Introduction to Coding Theory and Algebraic GeometryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Asymptotic Statistics des Autors Manfred Denker
Band 14Manfred Denker
Asymptotic StatisticsBuch
Fr. 39.90
-
Zur Artikeldetailseite von Mathematical Theory of Finite and Boundary Element Methods des Autors Schatz
Band 15Schatz
Mathematical Theory of Finite and Boundary Element MethodsBuch
Fr. 66.90
-
Zur Artikeldetailseite von Stochastic Approximation and Optimization of Random Systems des Autors L. Ljung
Band 17L. Ljung
Stochastic Approximation and Optimization of Random SystemsBuch
Fr. 39.90
-
Zur Artikeldetailseite von Group Rings and Class Groups des Autors K.W. Roggenkamp
Band 18K.W. Roggenkamp
Group Rings and Class GroupsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Information Bounds and Nonparametric Maximum Likelihood Estimation des Autors P. Groeneboom
Band 19P. Groeneboom
Information Bounds and Nonparametric Maximum Likelihood EstimationBuch
Fr. 72.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen