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A note on generalised wreath product groups

Published online by Cambridge University Press:  09 April 2009

Cheryl E. Praeger
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, W.A. 6009, Australia
C. A. Rowley
Affiliation:
Mathematics Faculty, The Open University, Milton Keynes, MK7 6AA, United Kingdom
T. P. Speed
Affiliation:
CSIRO Division of Mathematics and Statistics, Box 1965 GPO, Canberra, A.C.T. 2601, Australia
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985

References

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[3]Bailey, R. A., Praeger, Cheryl E., Rowley, C. A. and Speed, T. P., ‘Generalized wreath products of permutation groups’, Proc. London Math. Soc. (3) 47 (1983), 6982.CrossRefGoogle Scholar
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