Geometry of semiabelian \(n\)-ary groups. (Q2888140)
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scientific article; zbMATH DE number 6039637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of semiabelian \(n\)-ary groups. |
scientific article; zbMATH DE number 6039637 |
Statements
30 May 2012
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\(n\)-ary groups
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heaps
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flocks
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affine geometry
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parallelograms
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symmetries
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Geometry of semiabelian \(n\)-ary groups. (English)
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An affine geometry on an \(n\)-ary group is considered. Using methods proposed by \textit{W. A. Dudek} [Algebras Groups Geom. 16, No. 3, 329-354 (1999; Zbl 0996.20055)], the author gives various characterizations of semiabelian \(n\)-ary groups by their parallelograms and symmetries of points with respect to the vertices of tetragons.
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