出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：We consider an admissible system ({\\mathfrak g},( G , M )) where {\\mathfrak g} is the group of a Galois extension k ⁄ Q of number fields, G the ring {\\mathcal O} k of integers of k and M =({\\mathcal O} k )2. The cohomology group H 1({\\mathfrak g},{\\mathcal O} k ) is nicely described by a naive submodule Ξ k of {\\mathcal O} k and the Poincaré index i γ({\\mathfrak g}, M ), γ∈ H 1({\\mathfrak g},{\\mathcal O} k ), for the system ({\\mathfrak g},( G , M )), can be expressed in terms of Ξ k .
关键词：Galois extension;number fields;ring of integers;cohomology;system
