Baer involutions and polarities in Moufang planes of characteristic two (Q2844291)
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scientific article; zbMATH DE number 6202450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Baer involutions and polarities in Moufang planes of characteristic two |
scientific article; zbMATH DE number 6202450 |
Statements
Baer involutions and polarities in Moufang planes of characteristic two (English)
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28 August 2013
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Moufang plane
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translation plane
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Baer involution
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polarity
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conjugacy
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semifield
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division algebra
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alternative algebra
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composition algebra
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octonion field
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automorphism
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autotopism
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The authors study non-Desarguesian Moufang planes, which are coordinatized by an octonion field of characteristic two. They mainly study polarities and their absolute points. From the many results, here is one example: If the polarity comes from an anti-automorphism of the octonion field which is linear over the center but not the standard involution, then the set of absolute points forms a line.
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