NOTE ON HILBERT-SPEISER NUMBER FIELDS AT A PRIME ＄p＄
摘要
Let p be a prime number. A number field F satisfies the Hilbert-Speiser condition (H_{p}) when any tame cyclic extension N/F of degree p has a normal integral basis. We show that F satisfies (H_{p}) only when F cap Q(zeta_{p})=Q under some assumption on p .
引用本文（GB/T 7714）
Humio Ichimura. NOTE ON HILBERT-SPEISER NUMBER FIELDS AT A PRIME ＄p＄[J]. Institutional Repositories DataBase (IRDB), 2007.
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