A twisted Laurent series ring that is a noncrossed product |
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Authors: | Timo Hanke |
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Institution: | (1) Department of Mathematics, 0112, University of California at San Diego, 9500 Gilman Dr., 92093-0112 San Diego, CA, USA |
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Abstract: | The striking results on noncrossed products were their existence (Amitsur 1]) and the determination of ℚ(t) and ℚ((t)) as their smallest possible centres (Brussel 3]). This paper gives the first fully explicit noncrossed product example
over ℚ((t)). As a consequence, the use of deep number theoretic theorems (local-global principles such as the Hasse norm theorem and
density theorems) in order to prove existence is eliminated. Instead, the example can be verified by direct calculations.
The noncrossed product proof is short and elementary.
Supported in part by the DAAD (Kennziffer D/02/00701). |
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Keywords: | |
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