|
|||||
|
|
A note on integral bases of unramified cyclic extensions of prime degree. II |
|
| Authors: | Humio Ichimura Hiroki Sumida |
| Institution: | (1) Department of Mathematics, Yokohama City University, 22–2, Seto, Kanazawa-ku, Yokohama, 236-0027, Japan. e-mail: ichimura@math.yokohama-cu.ac.jp, JP;(2) Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama, Higashi–Hiroshima, 739-8521, Japan. e-mail: sumida@mis.hiroshima-u.ac.jp, JP |
| Abstract: | Let p be a prime number and K a number field containing a primitive p-th root of unity. It is known that an unramified cyclic extension L/K of degree p has a power integral basis if it has a normal integral basis. We show that for all p, the converse is not true in general. Received: 18 July 2000 / Revised version: 18 October 2000 |
| Keywords: | Mathematics Subject Classification (2000): 11R33 11R23 |
| 本文献已被 SpringerLink 等数据库收录！ | |