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A twisted Laurent series ring that is a noncrossed product
- Source :
- Israel Journal of Mathematics. 150:199-203
- Publication Year :
- 2005
- Publisher :
- Springer Science and Business Media LLC, 2005.
-
Abstract
- The striking results on noncrossed products were their existence (Amitsur) and the determination of Q(t) and Q((t)) as their smallest possible centres (Brussel). 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.<br />Comment: 4 pages (A4), updated version of published paper, the sign error in the definition of the element \pi has been corrected
- Subjects :
- Pure mathematics
Ring (mathematics)
General Mathematics
Laurent series
Outer automorphism group
Order (ring theory)
16S35 (Primary) 16K20 16W60 11Y40
Mathematics - Rings and Algebras
Cyclotomic field
Rings and Algebras (math.RA)
Product (mathematics)
FOS: Mathematics
Division algebra
Hasse norm theorem
Mathematics
Subjects
Details
- ISSN :
- 15658511 and 00212172
- Volume :
- 150
- Database :
- OpenAIRE
- Journal :
- Israel Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....0ebf8c0495599a6fa11392c4f3e488e8