Tactical decompositions of Steiner systems and orbits of projective groups (Q1592962)
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scientific article; zbMATH DE number 1553312
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tactical decompositions of Steiner systems and orbits of projective groups |
scientific article; zbMATH DE number 1553312 |
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Tactical decompositions of Steiner systems and orbits of projective groups (English)
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4 September 2001
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The author strengthens the upper bound in Block's lemma for the case of 2-designs with \(\lambda= 1\). He then applies his results to \(\text{PG}(n,g)\). It is unfortunate that the definition given for a Steiner system is incorrect. While 2-designs with \(\lambda= 1\) are certainly Steiner systems, the converse is not true. Fortunately, the incorrect nomenclature does not affect the results.
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tactical decompositions
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2-designs
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Steiner system
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