Steiner triple systems of order 19 and 21 with subsystems of order 7 (Q924955)
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scientific article; zbMATH DE number 5280708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Steiner triple systems of order 19 and 21 with subsystems of order 7 |
scientific article; zbMATH DE number 5280708 |
Statements
Steiner triple systems of order 19 and 21 with subsystems of order 7 (English)
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29 May 2008
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Using sophisticated computational techniques, the subsystem structure of Steiner triple systems of orders 19 and 21 is examined. There are 86,701,547 Steiner triple systems of order 19 that have a subsystem of order 7. Of these, 13,763 also contain a subsystem of order 9. For order 21, it is shown that there are exactly 2,166,351 Steiner triple systems having three disjoint subsystems of order 7.
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Steiner triple system
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subsystem
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Fano plane
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