Bhaskar Rao designs and the alternating group \(A_4\) (Q2760449)
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scientific article; zbMATH DE number 1684685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bhaskar Rao designs and the alternating group \(A_4\) |
scientific article; zbMATH DE number 1684685 |
Statements
2 January 2002
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Bhaskar Rao design
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alternating group
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pairwise balanced design
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Bhaskar Rao designs and the alternating group \(A_4\) (English)
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The authors give a new construction for generalized Bhaskar Rao designs, and they use this construction to establish a set of necessary and sufficient conditions for the existence of a generalized Bhaskar Rao design, \(\text{GBRD}(v,3,\lambda;A_4)\). In particular, they show that a \(\text{GBRD}(v,3,\lambda;A_4)\) exists if and only if \(\lambda \equiv 0\pmod {12}\) (where \(A_4\), the alternating group, is the group of even permutations on four letters).
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