6 edition of **Algebraic groups and class fields** found in the catalog.

Algebraic groups and class fields

Ian Stewart

- 386 Want to read
- 21 Currently reading

Published
**1988**
by Springer-Verlag in New York, London
.

Written in English

- Linear algebraic groups.,
- Class field theory.

**Edition Notes**

Statement | Jean-Pierre Serre. |

Series | 0raduate texts in mathematics -- 117 |

Classifications | |
---|---|

LC Classifications | QA171 |

The Physical Object | |

Pagination | ix, 207p. ; |

Number of Pages | 207 |

ID Numbers | |

Open Library | OL22037880M |

ISBN 10 | 038796648X |

Fields, rings, and groups. We’ll be looking at several kinds of algebraic structures this semester, the three major kinds being elds in chapter2, rings in chapter3, and groups inFile Size: 1MB. This is a text for the basic graduate sequence in abstract algebra, offered by most universities. This book explains the fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures. Author(s): Robert B. Ash.

Introduction to ﬂnite ﬂelds This chapter provides an introduction to several kinds of abstract algebraic structures, partic-ularly groups, ﬂelds, and polynomials. Our primary interest is in ﬂnite ﬂelds, i.e., ﬂelds with a ﬂnite number of elements (also called Galois ﬂelds). In File Size: KB. Updated to reflect current research, Algebraic Number Theory and Fermat’s Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics—the quest for a proof of Fermat’s Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers Cited by:

Introduction to Groups, Rings and Fields HT and TT H. A. Priestley 0. Familiar algebraic systems: review and a look ahead. GRF is an ALGEBRA course, and speciﬁcally a course about algebraic structures. This introduc-tory section revisits ideas met in the early part of Analysis I and in Linear Algebra I, to set the scene and provide File Size: KB. hence non-a ne, algebraic groups. We now gather some basic properties of algebraic groups: Lemma Any algebraic group Gis a smooth variety, and its (connected or irreducible) com-ponents are the cosets gG 0, where g2G. Moreover, G is a closed normal .

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Algebraic Groups and Class Fields book. Read reviews from world’s largest community for readers.4/5(2). Algebraic Groups and Class Fields. It seems that you're in USA. We have a dedicated site for USA Algebraic Curves.

Pages Serre, Jean-Pierre Book Title Algebraic Groups and Class Fields Authors. Jean-Pierre Serre; Series Title Graduate Texts in MathematicsBrand: Springer-Verlag New York. Algebraic Groups and Class Fields (Graduate Texts in Mathematics Book ) - Kindle edition by Serre, Jean-Pierre. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Algebraic Groups and Class Fields (Graduate Texts in Mathematics Book ).Manufacturer: Springer.

Part of the Graduate Texts in Mathematics book series (GTM, volume ) Log in to check access. Buy eBook Class Field Theory. Jean-Pierre Serre. Pages Group Extensions and Cohomology.

Jean-Pierre Serre. Pages Back Matter. Pages PDF. About this book. Keywords. algebra algebraic group cohomology commutative group. Algebraic Groups and Class Fields (Graduate Texts in Mathematics ()) 1st ed.

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Cited by: Algebraic Groups and Class Fields Jean-Pierre Serre (auth.) Algebraic Curves.- Maps From a Curve to a Commutative Group.- Singular Algebraic Curves.- Generalized Jacobians.- Class Field Theory.- Group Extension and Cohomology.- Bibliography.- You can write a book review and share your experiences.

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Could you suggest some books to learn the prerequisites. Thanks. algebraic-geometry book-recommendation algebraic-groups class-field-theory. Algebraic Groups and Class Fields (Graduate Texts in Mathematics) 作者: Jean-Pierre Serre 出版社: Springer 出版年: 页数: 定价: USD 装帧: Hardcover ISBN: Author: Jean-Pierre Serre.

Algebraic groups and class fields: translation of the French edition by Serre, Jean Pierre. Publication date Topics Class field theory, Linear algebraic groups Borrow this book to access EPUB and PDF files. IN COLLECTIONS. Books to Borrow. Books for People with Print Disabilities.

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Algebraic number theory involves using techniques from (mostly commutative) algebra and ﬁnite group theory to gain a deeper understanding of number ﬁelds. The main objects that we study in algebraic number theory are number ﬁelds, rings of integers of number ﬁelds, unit groups, ideal class groups,norms, traces,File Size: KB.

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in Cited by: iAG: Algebraic Groups: An introduction to the theory of algebraic group schemes over fields These notes have been rewritten and published ().

See Books. Rough preliminary draft: pdf. LAG: Lie Algebras, Algebraic Groups, and Lie Groups. Buy a cheap copy of Algebraic Groups and Class Fields book by Jean-Pierre Serre.

Free shipping over $ The main statements of class ﬁeld theory are purely algebraic, but all the earlier proofs used analysis; Chevalley gave a purely algebraic proof. With his introduction of ideles he was able to give a natural formulation of class ﬁeld theory for` inﬁnite abelian extensions.

IWASAWA (–). He introduced an important new approach File Size: 1MB. In mathematics, class field theory is the branch of algebraic number theory concerned with the abelian extensions of number fields, global fields of positive characteristic, and local theory had its origins in the proof of quadratic reciprocity by Gauss at the end of the 18th century.

These ideas were developed over the next century, giving rise to a set of conjectures by Hilbert. Algebraic Groups and Number Theory. Edited by Vladimir Platonov, Andrei Rapinchuk.

Algebraic Groups over Locally Compact Fields Pages Download PDF. Chapter preview. select article 4. Arithmetic Groups and Reduction Theory Class numbers and class groups of algebraic groups Pages Download PDF. Abstract. Since the first printing of the book [] by H.

Zassenhaus and the author in algorithmic algebraic number theory has attracted rapidly increasing is documented, for example, by a regular meeting ANTS (algebraic number theory symposium) every two years whose proceedings [], [] give a good survey about ongoing there are several computer algebra packages Cited by: 1.

Questions tagged [algebraic-groups] Ask Question For questions about groups which have additional structure as algebraic varieties (the vanishing sets of collections of polynomials) which is compatible with their group structure.

What are the prerequisites for reading and understanding the book Algebraic Groups and Class Fields by Serre.An Introduction to Algebraic Number Theory. This note covers the following topics: Algebraic numbers and algebraic integers, Ideals, Ramification theory, Ideal class group and units, p-adic numbers, Valuations, p-adic fields.

Author(s): Frederique Oggier.e-books in Fields & Galois Theory category Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin - University of Notre Dame, The book deals with linear algebra, including fields, vector spaces, homogeneous linear equations, and determinants, extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity.