Description of Galois unipotent extensions

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• 作者：Masoud Ataei^a ; ^{mataeija@uwo.ca" class="auth_mail" title="E-mail the corresponding author} ; J&aacute ; n Min&aacute ; č^a ; ^{minac@uwo.ca" class="auth_mail" title="E-mail the corresponding author} ; Nguyễn Duy T&acirc ; n^a ; ^b ; ^{duytan@math.ac.vn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Galois unipotent extensions ; Local fields ; Norm maps ; Trace maps ; Dihedral group
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：193-219
• 全文大小：477 K

文摘

Given an arbitrary field F  , we describe all Galois extensions thmlsrc">text stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316303106&_mathId=si1.gif&_user=111111111&_pii=S0021869316303106&_rdoc=1&_issn=00218693&md5=1305e372bc0ce5128ff3b9fa39391af9" title="Click to view the MathML source">L/FthContainer hidden">thCode">th altimg="si1.gif" overflow="scroll">Ltretchy="false">/Fth> whose Galois groups are isomorphic to the group of upper triangular unipotent 4-by-4 matrices with entries in the field of two elements.