On a Theorem of Childs on Normal Bases of Rings of Integers: Addendum |
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Authors: | Ichimura Humio |
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Institution: | Department of Mathematics, Yokohama City University 22-2 Seto, Kanazawa-ku, Yokohama 236-0027, Japan |
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Abstract: | Let p 3 be a prime number, F be a number field with p Fx,and K = F( p). In a previous paper, the author proved, undersome assumption on p and F, that an unramified cyclic extensionN/F of degree p has a normal integral basis if and only if thepushed-up extension NK/K has a normal integral basis. This addendumshows that the assertion holds without the above-mentioned assumption. |
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