A non-abelian Stickelberger theorem

DOI10.1112/S0010437X10004859zbMath1222.11130arXiv0812.3787MaRDI QIDQ3077173

Henri Johnston, David J. Burns

Publication date: 22 February 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3787

zbMATH Keywords

class groupsGalois module structureequivariant L-values

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (9)

Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ The strong Stark conjecture for totally odd characters ⋮ On non-abelian Stark-type conjectures ⋮ On derivatives of Artin \(L\)-series ⋮ Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ Non-commutative Fitting invariants and annihilation of class groups ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions, II ⋮ On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions

Cites Work

• On refined Stark conjectures in the non-abelian case
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields

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