A note on the Coates–Sinnott conjecture | Zendy

Aoki Miho | Zendy

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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.

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