Milnor invariants and l-class groups

研究成果: Chapter in Book/Report/Conference proceedingChapter

抄録

Following the analogies between knots and primes, we introduce arithmetic analogues of higher linking matrices for prime numbers by using the arithmetic Milnor numbers. As an application, we describe the Galois module structure of the l-class group of a cyclic extension of ℚ of degree l (l being a prime number) in terms of the arithmetic higher linking matrices. In particular, our formula generalizes the classical formula of Rédei on the 4 and 8 ranks of the 2-class group of a quadratic field.

本文言語英語
ホスト出版物のタイトルProgress in Mathematics
出版社Springer Basel
ページ669-683
ページ数15
DOI
出版ステータス出版済み - 1 1 2008

出版物シリーズ

名前Progress in Mathematics
265
ISSN(印刷版)0743-1643
ISSN(電子版)2296-505X

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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