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by Helmut Volklein
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Mathematics
  • Author:
    Helmut Volklein
  • ISBN:
    0521562805
  • ISBN13:
    978-0521562805
  • Genre:
  • Publisher:
    Cambridge University Press; 1 edition (August 13, 1996)
  • Pages:
    268 pages
  • Subcategory:
    Mathematics
  • Language:
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    1106 kb
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    1575 kb
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    1365 kb
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    4.2
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Helmut Volklein The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups.

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields.

Groups as Galois Groups. Series: Cambridge Studies in Advanced Mathematics (53)

Groups as Galois Groups. Series: Cambridge Studies in Advanced Mathematics (53). Recommend to librarian. This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory.

Series: Cambridge Studies in Advanced Mathematics (Book 117). The book is masterfully written: even students who are not fully comfortable with Galois theory of fields and topological spaces will have no trouble with this book, as it is written in a very friendly manner with many examples with which to ground the reader. The choice to slowly build up to the theory of schemes is very nice: most students who have seen Galois groups and Fundamental groups have not seen any algebraic geometry, and yet it is not even necessary to take an algebraic geometry course while reading this book (of course, it certainly won't hurt to do so).

Groups as Galois Groups: An Introduction (Cambridge Studies in Advanced Mathematics). Groups as Galois groups: An introduction. Category: Образование. 3 Mb. Groups as Galois Groups: An Introduction (Cambridge Studies in Advanced Mathematics). 2 Mb. 1 Mb. Category: M Mathematics, MA Algebra, MAtg Group theory.

Galois Groups and Fundamental Groups (Cambridge Studies in Advanced Mathematics 117) Galois Theories (Cambridge Studies i. .

Galois Groups and Fundamental Groups (Cambridge Studies in Advanced Mathematics 117) Galois Theories (Cambridge Studies in Advanced Mathematics). Galois Theories (Cambridge Studies in Advanced Mathematics).

53 ; Helmut Völklein ; Groups as Galois groups: An introduction ; 9780521562805. An introduction to Lie groups and Lie algebras ; 9780521889698. 54 ; J. Le Potier ; Lectures on vector bundles ; 9780521481823. 55 ; Daniel Bump ; Automorphic forms and representations ; 9780521550987. 114 ; Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl ; Soliton equations and their algebro-geometric solutions, volume II: (1+1)-dimensional discrete models ; 9780521753081. 115 ; Edson de Faria, Welington de Melo ; Mathematical tools for one-dimensional dynamics ; 9780521888615.

By Francis Borceux and George Janelidze: 341 p. £5. 0, isbn 0-521-80309-8(Cambridge University Press, 2001). Do you want to read the rest of this article? Request full-text.

Groups as Galois Groups Volklein Cambridge Academ 9780521065030 : Develops the mathematical background and recent results on the Inverse Galois . Groups as Galois Groups, Volklein. Варианты приобретения. Кол-во: Наличие: Поставка под заказ

Groups as Galois Groups Volklein Cambridge Academ 9780521065030 : Develops the mathematical background and recent results on the Inverse Galois Problem. Кол-во: Наличие: Поставка под заказ. Есть в наличии на складе поставщика. Склад Англия: 17 шт. Склад Америка: 118 шт.

Groups as Galois Groups book. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

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This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.