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Unitals Admitting All Translations |
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| Authors: | Theo Grundhöfer Markus Stroppel Hendrik Van Maldeghem |
| Affiliation: | 1. Universit?t Würzburg, Institut für Mathematik, , Würzburg, Germany;2. Universit?t Stuttgart, Fachbereich Mathematik, , Stuttgart, D‐70550 Germany;3. Universiteit Gent, Vakgroep Zuivere Wiskunde en Computeralgebra, , Gent, Belgium |
| Abstract: | Among all 2‐ ‐designs, we characterize the Hermitian unitals by the existence of sufficiently many translations. In arbitrary 2‐ ‐designs, each group of translations with given center acts semiregularly on the set of points different from the center. |
| Keywords: | design unital automorphism translation Hermitian unital two‐transitive group Moufang set |