The theorem of Tits for \(\text{PGL}_ 2 (R)\), \(R\) being a commutative ring of stable rank 2 (Q1922797)
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scientific article; zbMATH DE number 929897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theorem of Tits for \(\text{PGL}_ 2 (R)\), \(R\) being a commutative ring of stable rank 2 |
scientific article; zbMATH DE number 929897 |
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The theorem of Tits for \(\text{PGL}_ 2 (R)\), \(R\) being a commutative ring of stable rank 2 (English)
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12 November 1996
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Certain permutation groups on sets with distance relation are characterized as groups of projectivities \(PGL_2 (R)\) on the projective line over a commutative ring \(R\) of stable rank 2, thus generalizing a classical result of Tits where \(R\) is a field.
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projective line
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stable rank
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projectivity
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