2021
DOI: 10.1007/s00022-021-00611-5
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Parallelisms and translations of (affine) $$\hbox {SL}(2,q)$$-unitals

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Cited by 4 publications
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“…3]. In [30,Corollary 3.8] it is proved: For q even, the set Ω2 in Grüning's unital ( [17], see [14, 5.5] for the description needed here) has size q + 1, and that unital admits exactly q + 1 non-trivial translations, each of order 2. In [30, 4.6, 4.7, 4.8] one finds unitals of order 4 with no translations, unitals of order 4 with |Ω2| = 1 and Γ [2] ∼ = C2, and unitals of order 4 with |Ω2| = 1 and Γ [2] ∼ = C2 × C2.…”
Section: Examples: Unitals With Few Translationsmentioning
confidence: 99%
“…3]. In [30,Corollary 3.8] it is proved: For q even, the set Ω2 in Grüning's unital ( [17], see [14, 5.5] for the description needed here) has size q + 1, and that unital admits exactly q + 1 non-trivial translations, each of order 2. In [30, 4.6, 4.7, 4.8] one finds unitals of order 4 with no translations, unitals of order 4 with |Ω2| = 1 and Γ [2] ∼ = C2, and unitals of order 4 with |Ω2| = 1 and Γ [2] ∼ = C2 × C2.…”
Section: Examples: Unitals With Few Translationsmentioning
confidence: 99%