A theorem on power series with applications to classical groups over finite fields (Q2748272)
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scientific article; zbMATH DE number 1659135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on power series with applications to classical groups over finite fields |
scientific article; zbMATH DE number 1659135 |
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A theorem on power series with applications to classical groups over finite fields (English)
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30 October 2002
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classical groups over finite fields
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power series
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eigenvalue-free elements
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generating functions
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0.8888102
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0.8887136
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0.8885486
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0.8868324
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0.88569945
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0.8826969
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The author proves a theorem, which gives conditions for the coefficients of a power series raised to a power to decrease monotonically in size. It is then applied to the generating functions of some classical groups (general linear, symplectic, and orthogonal groups) over finite fields to obtain a result on the monotonicity of the proportions of eigenvalue-free elements in these groups.
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