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Schur rings over a Galois ring of odd characteristic
Authors:Sergei Evdokimov
Affiliation:Steklov Institute of Mathematics, St. Petersburg, Russian Federation
Abstract:
It is proved that any Schur ring over a Galois ring of odd characteristic is either normal, or of rank 2, or a non-trivial generalized wreath product. The normal Schur rings are characterized as a special subclass of the cyclotomic Schur rings.
Keywords:Schur ring   Galois ring   Normal cyclotomic ring   Generalized wreath product
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