Uniform boundedness of torsion subgroups of linear groups. (Q925959)
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scientific article; zbMATH DE number 5278764
| Language | Label | Description | Also known as |
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| English | Uniform boundedness of torsion subgroups of linear groups. |
scientific article; zbMATH DE number 5278764 |
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Uniform boundedness of torsion subgroups of linear groups. (English)
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26 May 2008
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Let \(G\subset\text{GL}_d\) be a connected linear algebraic group defined over a field \(k\) finitely generated over the rational numbers. Then the order of any torsion subgroup of \(G(k)\) is bounded by a constant depending only on \(d\) and \(k\). For Abelian varieties \(G\) and number fields \(k\), a similar result is the torsion conjecture.
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linear algebraic groups
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orders of torsion subgroups
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finite subgroups
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torsion conjecture
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