A note on models of finite geometries arising from difference sets (Q1065007)
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scientific article; zbMATH DE number 3920479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on models of finite geometries arising from difference sets |
scientific article; zbMATH DE number 3920479 |
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A note on models of finite geometries arising from difference sets (English)
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1985
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Let \(\Pi\) be a projective plane of order n belonging to an abelian difference set D. The author has shown how to construct a totally symmetric quasigroup from each translate of D (i.e., from each line of \(\Pi)\). He here shows that the set of all these quasigroups may be used to construct an isomorphic copy of \(\Pi\).
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projective plane
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abelian difference set
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quasigroups
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isomorphic copy
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