On Lewin and Vitek's conjecture about the exponent set of primitive matrices (Q1092140)
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scientific article; zbMATH DE number 4012821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Lewin and Vitek's conjecture about the exponent set of primitive matrices |
scientific article; zbMATH DE number 4012821 |
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On Lewin and Vitek's conjecture about the exponent set of primitive matrices (English)
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1987
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\textit{M. Lewin} and \textit{Y. Vitek} [Ill. J. Math. 25, 87-98 (1981; Zbl 0457.15014)] conjecture that every integer \(\leq [w_ n]+1=[(n^ 2- 2n+2)]+1\) is the exponent of some \(n\times n\) primitive matrix. In this paper we prove that this conjecture is true except for \(n=11\). The problem of determining the exponent set \(E_ n\) is completely solved.
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exponent set of primitive matrices
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