A Brumer-Stark conjecture for non-abelian Galois extensions

作者：Dejou Gaelle; Roblot Xavier Francois^*

来源：Journal of Number Theory, 2014, 142: 51-88.

DOI：10.1016/j.jnt.2014.02.020

• Galois extensions
• Brumer-Stark conjecture
• Artin L-functions
• Ideal class group annihilators

Let K/k be an abelian extension of number fields. The Brumer Stark conjecture predicts that a group ring element constructed from special values of L-functions associated to K/k annihilates the ideal class group of K. Moreover it specifies that the generators obtained have special properties. The aim of this article is to state and study a generalization of this conjecture to non-abelian Galois extensions that is, in spirit, very similar to the original conjecture.

• 出版日期2014-9