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On the isomorphism class of the ring of all integers of a cyclic wildly ramified extension of degree p II

Published online by Cambridge University Press:  22 January 2016

Yoshimasa Miyata
Yoshimasa Miyata*
Affiliation:
Department of Mathematics, Faculty of Education, Shizuoka University, Shizuoka, 422, Japan
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Let k be an algebraic number field with the ring of integers ok = o and let G be a cyclic group of order p, an odd prime.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 111 , September 1988 , pp. 165 - 171
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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[3] McCulloh, L. R., A Stickelberger condition on Galois module structure for Kummer extensions of prime degree, in “Algebraic number fields”, Proc. Durham Symp., Academic Press, London/New York, 1977, 561–588.Google Scholar
[4] Miyata, Y., On the isomorphism class of the ring of all integers of a cyclic wildly ramified extension of degree p, J. Algebra, to appear.Google Scholar
[5] Reiner, I., “Maximal orders”, Academic Press, London, 1975.Google Scholar