Linearizability and rationality of monomial automorphisms of small order (Q912151)
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scientific article; zbMATH DE number 4144094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearizability and rationality of monomial automorphisms of small order |
scientific article; zbMATH DE number 4144094 |
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Linearizability and rationality of monomial automorphisms of small order (English)
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1990
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A K-automorphism of a purely transcendental extension L/K is called linearizable if it acts on the K-submodule of L generated by a transcendence basis of L/K. The author gives a sufficient condition for the linearizability of certain automorphisms associated with cyclotomic polynomials of order 2p (with prime p). The cases \(p=3,5,7\) are studied in detail.
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monomial automorphisms
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linearizability of automorphisms
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purely transcendental extension
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cyclotomic polynomials
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