Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by Crossref.
Kuz'min, L. V.
1987.
Algebraic number fields.
Journal of Soviet Mathematics,
Vol. 38,
Issue. 3,
p.
1930.
Article contents
On the module structure of a p-extension over a 
-adic number field
Published online by Cambridge University Press: 22 January 2016
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Throughout this paper, let p be an odd prime. Let k be a -adic number field and 
be the ring of all integers in k. Let K/k be a finite totally ramified Galois p-extension of degree pn with the Galois group G. Clearly the ring 
of all integers in K is an [G]-module. In the previous paper [4], we studied [G]-module structure of in a cyclic totally ramified p-extension, and we have obtained the condition for to be an indecomposable [G]-module.
- Type
- Research Article
- Information
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 1980
References
[1]
Amano, S., Eisenstein equations of degree p in a
-adic field, J. Fac. Sci. Univ. Tokyo
18, No. 1 (1971), 1–21.Google Scholar
-adic field, J. Fac. Sci. Univ. Tokyo
18, No. 1 (1971), 1–21.Google Scholar[2]
Huppert, B., Endlich Gruppen I, Die Grundlehren der math. Wissenshaften, Band 134, Springer-Verlag, Berlin and New York
1967.Google Scholar
[4]
Miyata, Y., On the module of a cyclic extension over a
-adic number field, Nagoya Math. J. 73 (1979), 61–68.CrossRefGoogle Scholar
-adic number field, Nagoya Math. J. 73 (1979), 61–68.CrossRefGoogle Scholar[5]
Wyman, B. F., Wildly ramified gamma extension, Amer. J. of Math. 91 (1969), 135–152.CrossRefGoogle Scholar
You have
Access
- 1
- Cited by