The residually weakly primitive geometries of \(S _{5} {\times}\)2 (Q1849874)
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scientific article; zbMATH DE number 1838878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The residually weakly primitive geometries of \(S _{5} {\times}\)2 |
scientific article; zbMATH DE number 1838878 |
Statements
The residually weakly primitive geometries of \(S _{5} {\times}\)2 (English)
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2 December 2002
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The authors give the complete classification of all firm and residually connected coset geometries satisfying the intersection property \((IP)_2\), and on which the group \(S_5 \times 2\) acts flag--transitively and residually weakly primitive. Actually, they prove that all coset geometries of \(S_5 \times 2\) can be constructed with the knowledge of the coset geometries of both groups \(S_5\) and \(2\).
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direct sums
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coset geometries
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residually weakly primitive geometries
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