Opolka, Hans
Overview
Works:  25 works in 75 publications in 4 languages and 905 library holdings 

Genres:  History 
Roles:  Author 
Classifications:  QA241, 512.709 
Publication Timeline
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Most widely held works by
Hans Opolka
From Fermat to Minkowski : lectures on the theory of numbers and its historical development by
Winfried Scharlau(
Book
)
31 editions published between 1980 and 2010 in 3 languages and held by 768 WorldCat member libraries worldwide
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in numbertheoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives
31 editions published between 1980 and 2010 in 3 languages and held by 768 WorldCat member libraries worldwide
This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in numbertheoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives
Galoisdarstellungen und Galoiskohomologie von Zahlkörpern by
Hans Opolka(
Book
)
6 editions published between 1982 and 1983 in German and held by 32 WorldCat member libraries worldwide
6 editions published between 1982 and 1983 in German and held by 32 WorldCat member libraries worldwide
Galoiskohomologie und Galoisdarstellungen by
Hans Opolka(
Book
)
2 editions published in 1992 in German and held by 5 WorldCat member libraries worldwide
2 editions published in 1992 in German and held by 5 WorldCat member libraries worldwide
The estimates of indices of central embedding problems and applications by
Katsuya Miyake(
Book
)
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
On nilpotent extensions of algebraic number fields by
Katsuya Miyake(
Book
)
2 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide
A note on irreducible representations of profinite nilpotent groups by
Katsuya Miyake(
Book
)
2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide
Arithmetic and geometric Galois representations by
Hans Opolka(
Book
)
2 editions published in 1988 in German and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1988 in German and English and held by 4 WorldCat member libraries worldwide
On central extensions by
Katsuya Miyake(
Book
)
3 editions published in 1987 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 4 WorldCat member libraries worldwide
Algebra für die Informatik by
Hans Opolka(
)
3 editions published between 2010 and 2014 in German and held by 3 WorldCat member libraries worldwide
Es sollen grundlegende algebraische Begriffe, die für die Informatik und Kommunikationstheorie nützlich sind, vermittelt werden
3 editions published between 2010 and 2014 in German and held by 3 WorldCat member libraries worldwide
Es sollen grundlegende algebraische Begriffe, die für die Informatik und Kommunikationstheorie nützlich sind, vermittelt werden
Ladic and complex Galois representations by
Hans Opolka(
Book
)
3 editions published in 1987 in German and English and held by 3 WorldCat member libraries worldwide
3 editions published in 1987 in German and English and held by 3 WorldCat member libraries worldwide
From Fermat to Minkowski Lectures on the Theory of Numbers and Its Historical Development by
Winfried Scharlau(
)
1 edition published in 1985 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 3 WorldCat member libraries worldwide
Ferumā no keifu(
Book
)
3 editions published in 1994 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 1994 in Japanese and held by 3 WorldCat member libraries worldwide
On nilpotent extensions of algebraic number fields I by
Katsuya Miyake(
Book
)
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
Rationalitätsfragen bei projektiven Darstellungen endlicher Gruppen by
Hans Opolka(
Book
)
2 editions published in 1976 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in German and held by 2 WorldCat member libraries worldwide
Von Fermat bis Minkowski, Eine Vorlesung uber Zahlentheorie und ihre Entwicklung by
Winfried Scharlau(
)
1 edition published in 1980 in German and held by 1 WorldCat member library worldwide
1 edition published in 1980 in German and held by 1 WorldCat member library worldwide
The Schur multiplier and central embedding problems by
Hans Opolka(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The purpose of this note is to complete previous observations on connections between central embedding problems for a profinite group and its Schur multiplier. In addition the concept of uniform triviality of the Schur multiplier is introduced
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The purpose of this note is to complete previous observations on connections between central embedding problems for a profinite group and its Schur multiplier. In addition the concept of uniform triviality of the Schur multiplier is introduced
Lifting of central 2cocycles, cyclotomic splitting fields and rationality of Galois representations by
Hans Opolka(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
In dieser Arbeit wird ein Zusammenhang zwischen dem Liftungsproblem für einen zentralen 2Kozykel auf einer endlichen Faktorgruppe der absoluten Galoisgruppe eines Körpers und der Existenz eines zyklotomischen Zerfällungskörpers einer gewissen zentraleinfachen Algebra hergestellt. Außerdem werden Beispiele diskutiert und Anwendungen auf das Rationalitätsproblem für Galoisdarstellungen gegeben
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
In dieser Arbeit wird ein Zusammenhang zwischen dem Liftungsproblem für einen zentralen 2Kozykel auf einer endlichen Faktorgruppe der absoluten Galoisgruppe eines Körpers und der Existenz eines zyklotomischen Zerfällungskörpers einer gewissen zentraleinfachen Algebra hergestellt. Außerdem werden Beispiele diskutiert und Anwendungen auf das Rationalitätsproblem für Galoisdarstellungen gegeben
Grundbegriffe der Galoiskohomologie by
Hans Opolka(
)
1 edition published in 2010 in German and held by 1 WorldCat member library worldwide
Mit diesen Aufzeichnungen sollen Grundbegriffe der Galoiskohomologie vermittelt werden
1 edition published in 2010 in German and held by 1 WorldCat member library worldwide
Mit diesen Aufzeichnungen sollen Grundbegriffe der Galoiskohomologie vermittelt werden
Composite numbers, Galois theory and automorphic forms by
Hans Opolka(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
For every decomposition of a composite integer irreducible 2dimensional representations of the absolute Galois group of the rational number field are constructed. Furthermore the constructed representations will be related to automorphic forms
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
For every decomposition of a composite integer irreducible 2dimensional representations of the absolute Galois group of the rational number field are constructed. Furthermore the constructed representations will be related to automorphic forms
Central simple algebras and Galois representations by
Hans Opolka(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
This is a survey about connections between central simple algebras and Galois representations in the case of number fields
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
This is a survey about connections between central simple algebras and Galois representations in the case of number fields
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Alternative Names
Opolka, H.
オポルカ, H
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