Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\) (Q327955)
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scientific article; zbMATH DE number 6641220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\) |
scientific article; zbMATH DE number 6641220 |
Statements
Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to \(A_4\) (English)
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20 October 2016
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The author describes odd-order semifield planes admitting a Baer involution or an alternating group \(A_{4}\) in the translation complement. Explicit matrix representations of the spreads are given. The results are applied to the order \(81\) case. The reviewer is surprised not to find any references to papers after the year 2000, from outside the authors work group. Certainly relevant would be, e.g., [\textit{U. Dempwolff}, J. Geom. 89, No. 1--2, 1--16 (2008; Zbl 1175.12003)].
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semifield plane
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spread set
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Baer involution
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isomorphism
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autotopism
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collineation group
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alternating group
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