Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A note on the Coates–Sinnott conjecture

A note on the Coates–Sinnott conjecture Let K be a finite abelian extension of a totally real number field. The Brumer conjecture asserts that the Stickelberger element annihilates the ideal class group of K. In this article, we will prove under some assumptions that the conjecture implies the Coates–Sinnott conjecture which is an analogue of the Brumer conjecture for higher K‐groups. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

A note on the Coates–Sinnott conjecture

Loading next page...
 
/lp/wiley/a-note-on-the-coates-sinnott-conjecture-CiUlgn0lau

References (27)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdp035
Publisher site
See Article on Publisher Site

Abstract

Let K be a finite abelian extension of a totally real number field. The Brumer conjecture asserts that the Stickelberger element annihilates the ideal class group of K. In this article, we will prove under some assumptions that the conjecture implies the Coates–Sinnott conjecture which is an analogue of the Brumer conjecture for higher K‐groups.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Aug 1, 2009

There are no references for this article.