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e-Book Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2) download

e-Book Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2) download

by Karl Rubin,Serge Lang

ISBN: 0387966714
ISBN13: 978-0387966717
Language: English
Publisher: Springer; 2nd edition (December 18, 1989)
Pages: 436
Category: Mathematics
Subategory: Math Science

ePub size: 1571 kb
Fb2 size: 1873 kb
DJVU size: 1853 kb
Rating: 4.1
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Series: Graduate Texts in Mathematics (Book 121). Back to top. Get to Know Us. Careers.

Series: Graduate Texts in Mathematics (Book 121). Hardcover: 436 pages. ISBN-13: 978-0387966717. Product Dimensions: . x . inches.

Graduate Texts in Mathematics. Cyclotomic Fields II. 70 MASSEY. Singular Homology Theory. The book is divided into six Parts. Parts I and III could be the basis for a useful course in algebraic topology (which might also include Sects. Graduate Texts in Mathematics. Introduction to Axiomatic Set Theory. I have divided this material up, and placed it, with group theory in mind. Part II is about niteness properties of groups, including both the theory and some key examples. This is a topic that does not involve asymptotic or end-theoretic invariants.

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Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by. .Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas

Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals.

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Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek, Artin-Hasse and Vandiver.

Cyclotomic Fields (Graduate Texts in Mathematics)

Cyclotomic Fields (Graduate Texts in Mathematics). Local Fields (Graduate Texts in Mathematics 67). Local Fields (Graduate Texts in Mathematics).

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in.Cyclotomic Fields II, Serge Lang (1980

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. Cyclotomic Fields II, Serge Lang (1980, ISBN 978-1-4684-0088-5). Singular Homology Theory, William S. Massey (1980

Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950's, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals. Finally, in the late 1960's, Iwasawa [Iw 11] made the fundamental discovery that there was a close connection between his work on towers of cyclotomic fields and these p-adic L-functions of Leopoldt - Kubota.
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