On multiple transitivity for products of sets of permutations. (Q950834)
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scientific article; zbMATH DE number 5358146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On multiple transitivity for products of sets of permutations. |
scientific article; zbMATH DE number 5358146 |
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On multiple transitivity for products of sets of permutations. (English)
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28 October 2008
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For some cryptographic applications it is useful to study multiply transitivity of large sets of permutations of a finite set \(\Omega\). It is proposed in this paper to reduce such investigations to the study of products of matrices related to equivalence relations on injective \(\ell\)-tuples of \(\Omega\) which have considerably smaller dimension. Some special cases given by affine groups over finite fields or Galois rings are studied extensively.
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finite permutation groups
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permutation sets
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multiple transitive groups
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products of matrices
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equivalences
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affine groups
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Galois rings
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0.9062149
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0.90560484
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0.8922885
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0.8842148
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0.8833674
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0.88142383
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