On cosets in Steiner loops (Q2833450)
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scientific article; zbMATH DE number 6654427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On cosets in Steiner loops |
scientific article; zbMATH DE number 6654427 |
Statements
18 November 2016
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Steiner triple system
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Steiner loop
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normal subloop
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coset decomposition
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On cosets in Steiner loops (English)
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A complete characterization is given for when the cosets of a Steiner subloop of a Steiner loop form a partition of its elements. Building on this characterization, normal Steiner subloops of a Steiner loop are completely characterized. Consequences for subloops of orders 2 and 4 are also explored.
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