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1985•Journal of the Australian Mathematical Society Series A Pure Mathematics and StatisticsOpen access

A note on generalised wreath product groups

Cheryl E. Praeger, Chris Rowley, Terence P. Speed

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Abstract

Abstract Generalised wreath products of permutation groups were discussed in a paper by Bailey and us. This note determines the orbits of the action of a generalised wreath product group on m–tuples (m ≥ 2) of elements of the product of the base sets on the assumption that the action on each component is m–transitive. Certain related results are also provided.

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Abstract Generalised wreath products of permutation groups were discussed in a paper by Bailey and us. This note determines the orbits of the action of a generalised wreath product group on m–tuples (m ≥ 2) of elements of the product of the base sets on the assumption that the action on each component is m–transitive. Certain related results are also provided.

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Available abstract

Abstract Generalised wreath products of permutation groups were discussed in a paper by Bailey and us. This note determines the orbits of the action of a generalised wreath product group on m–tuples (m ≥ 2) of elements of the product of the base sets on the assumption that the action on each component is m–transitive. Certain related results are also provided.

Key concepts: Wreath product, Mathematics, Permutation group, Transitive relation, Combinatorics, Product (mathematics), Action (physics), Permutation (music)

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