ISSN:
1420-8946
Keywords:
Key words. Galois module structure, local fields, ideals, associated orders.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. Let p be an odd rational prime and K a finite extension of $ {\Bbb Q}_p $ . We give a complete classification of those finite abelian extensions $ L/K $ in which any ideal of the valuation ring of L is free over its associated order in $ {\Bbb Q}_p[Gal(L/K)] $ . In an appendix W. Bley describes an algorithm which can be used to determine the structure of Galois stable ideals in abelian extensions of number fields. The algorithm is applied to give several new and interesting examples.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000140050111
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