Translation planes of order 25 admitting a quaternion group of homologies with affine axis (Q1193233)
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scientific article; zbMATH DE number 62173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Translation planes of order 25 admitting a quaternion group of homologies with affine axis |
scientific article; zbMATH DE number 62173 |
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Translation planes of order 25 admitting a quaternion group of homologies with affine axis (English)
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27 September 1992
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\textit{G. Mason} and \textit{T. G. Ostrom} [Geom. Dedicata 17, 307-322 (1985; Zbl 0566.51020)] have shown that the irregular nearfield plane of order 25 and the plane \(E(5)\) of extra-special type are two translation planes of order 25 that admit a quaternion group of homologies with an affine axis. In the paper under review the author shows that these are the only translation planes of order 25 with this property.
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quaternion group
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homologies with affine axis
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translation planes of order 25
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0.8976246
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0.89538753
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0.8884526
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0.8751603
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0.8684663
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