Faulkner geometry (Q1906231)
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scientific article; zbMATH DE number 843599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Faulkner geometry |
scientific article; zbMATH DE number 843599 |
Statements
Faulkner geometry (English)
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1996
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Axioms are presented for a Barbilian geometry of dimension \(n \geq 2\) over a ring for which \(ab = 1\) implies \(ba = 1\). It is shown that any Faulkner geometry (i.e. a Barbilian geometry with additional axioms) of dimension \(n \geq 3\) is coordinatized by a unique associative two-sided units ring \(R\) and that the group generated by all transvections is a group of Steinberg type over \(R\).
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ring geometry
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groups of Steinberg type
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Barbilian geometry
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