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Progress in Galois Theory: Proceedings of John Thompson s 70th Birthday Conference (Hardback)
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Progress in Galois Theory: Proceedings of John Thompson s 70th Birthday Conference (Hardback) - gebunden oder broschiert

2005, ISBN: 0387235337

ID: 11221250118

[EAN: 9780387235332], Neubuch, [PU: Springer-Verlag New York Inc., United States], Mathematics|Algebra|General, Language: English . Brand New Book ***** Print on Demand *****. The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen- tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp- son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the Inverse Problem of Galois Theory ). What are the implica- tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere).

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Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference - Tanush Shaska#Helmut Voelklein
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Tanush Shaska#Helmut Voelklein:
Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference - neues Buch

ISBN: 9780387235332

ID: b815dbb7b1b307f1576a01da44926bc7

Proceedings of John Thompson's 70th Birthday Conference The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen­ tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp­ son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the 'Inverse Problem of Galois Theory'). What are the implica­ tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere). Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-23533-2, Springer

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Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference
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Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference - neues Buch

ISBN: 9780387235332

ID: 978038723533

The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory. Books, Science and Nature, Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference Books>Science and Nature, Springer US

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Progress in Galois Theory - Shaska, Tanush; Voelklein, Helmut
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Shaska, Tanush; Voelklein, Helmut:
Progress in Galois Theory - neues Buch

ISBN: 9780387235332

ID: 226466

The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory. Mathematics Mathematics eBook, Springer

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Progress in Galois Theory - Helmut Voelklein; Tanush Shaska
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Helmut Voelklein; Tanush Shaska:
Progress in Galois Theory - gebunden oder broschiert

2004, ISBN: 9780387235332

ID: 6546789

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Details zum Buch
Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference

The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory.

Detailangaben zum Buch - Progress in Galois Theory: Proceedings of John Thompson's 70th Birthday Conference


EAN (ISBN-13): 9780387235332
ISBN (ISBN-10): 0387235337
Gebundene Ausgabe
Erscheinungsjahr: 2005
Herausgeber: Springer-Verlag GmbH
168 Seiten
Gewicht: 0,408 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 05.06.2007 19:31:04
Buch zuletzt gefunden am 21.08.2017 22:04:48
ISBN/EAN: 9780387235332

ISBN - alternative Schreibweisen:
0-387-23533-7, 978-0-387-23533-2


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