文章基本信息

标题：A Note on Galois Cohomology of Algebraic Integers
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作者：Takashi ONO
期刊名称：Interdisciplinary Information Sciences
印刷版ISSN：1340-9050
电子版ISSN：1347-6157
出版年度：2010
卷号：16
期号：1
页码：1-4
DOI：10.4036/iis.2010.1
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