Rank 5 association schemes and triality (Q1899406)
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scientific article; zbMATH DE number 803737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rank 5 association schemes and triality |
scientific article; zbMATH DE number 803737 |
Statements
Rank 5 association schemes and triality (English)
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26 February 1996
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Symmetric association schemes of rank 5, containing a nontrivial parabolic \(E\), such that the scheme is not a wreath product modulo \(E\) are considered. They consist of three different classes (depending on value of rank and corank \(E\)). The main of them (rank 3, corank 2) contains several examples, associated with interesting groups (\(O^+_8(q)\) (triality schemes), \(L_3(4)\), \(U_6(2)\), \(U_3(5)\)). Problems of characterization on the level of parameters of the triality schemes and flag-transitivity schemes are investigated.
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distance regular graph
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intersection matrices
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character-multiplicity table
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uniform class
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flag-transitive group
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geometry
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association schemes
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parabolic
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wreath product
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triality schemes
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flag-transitivity schemes
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