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Self-dual Normal Integral Bases for Infinite Unramified Extensions
University West, Department of Technology, Mathematics and Computer Science.ORCID iD: 0000-0001-6594-7041
2002 (English)In: Journal of Number Theory, ISSN 0022-314X, E-ISSN 1096-1658, Vol. 97, no 2, p. 350-367Article in journal (Refereed) Published
Abstract [en]

We prove a generalization to infinite Galois extensions of local fields, of a classical result by Noether on the existence of normal integral bases for finite tamely ramified Galois extensions. We also prove a self-dual normal integral basis theorem for infinite unramified Galois field extensions of local fields with finite residue fields of characteristic different from 2. This generalizes a result by Fainsilber for the finite case. To do this, we obtain an injectivity result concerning pointed cohomology sets, defined by inverse limits of norm-one groups of free finite-dimensional algebras with involution over complete discrete valuation rings.

Place, publisher, year, edition, pages
2002. Vol. 97, no 2, p. 350-367
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Mathematics
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Mathematics
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URN: urn:nbn:se:hv:diva-2345DOI: 10.1016/S0022-314X(02)00015-XOAI: oai:DiVA.org:hv-2345DiVA, id: diva2:311179
Available from: 2010-04-20 Created: 2010-04-20 Last updated: 2017-12-12Bibliographically approved

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Lundström, Patrik

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