Premium
A note on the Coates–Sinnott conjecture
Author(s) -
Aoki Miho
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp035
Subject(s) - conjecture , mathematics , abelian group , ideal (ethics) , beal's conjecture , class (philosophy) , collatz conjecture , lonely runner conjecture , pure mathematics , field (mathematics) , extension (predicate logic) , combinatorics , discrete mathematics , law , computer science , artificial intelligence , political science , programming language
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.