The radical factors of \(f(x)-f(y)\) over finite fields (Q1380763)
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scientific article; zbMATH DE number 1127597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The radical factors of \(f(x)-f(y)\) over finite fields |
scientific article; zbMATH DE number 1127597 |
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The radical factors of \(f(x)-f(y)\) over finite fields (English)
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11 March 1998
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The author considers the difference \(f(x)-f(y)\) of polynomials over a finite field \(F_q\) and proves that the product \(R(x,y)\) of all irreducible factors of the difference, that are not solvable by radicals, is of the form \(R(x,y)= g(x)-g(y)\), where \(f(x)= G(g(x))\) for some polynomials \(g\), \(G\) over \(F_q\).
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radical factors
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permutation polynomial
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difference of polynomials over a finite field
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solvable by radicals
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0.8964542
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0.8958151
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0.8925382
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0.88821733
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