Hadamard difference sets in groups of order 64 (Q1812604)
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scientific article; zbMATH DE number 3698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hadamard difference sets in groups of order 64 |
scientific article; zbMATH DE number 3698 |
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Hadamard difference sets in groups of order 64 (English)
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25 June 1992
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We determine the groups \(G\) of order 64 which contain 4 pairwise disjoint subgroups of order 8. We show that \(G\) must be either elementary abelian or isomorphic to a group \(G_ 0\) of nilpotence class two. \(G_ 0\) is the semidirect product \(\langle t\rangle V\), where \(V\) is elementary abelian of order 32 and \(t\) is an involution which acts on \(V\) with two nontrivial Jordan blocks.
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Hadamard difference sets
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elementary abelian
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Jordan blocks
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