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On the fixed points of Sylow subgroups of transitive permutation groups: corrigendum

Part of: Permutation groups

Published online by Cambridge University Press:  09 April 2009

Marcel Herzog  and
Cheryl E. Praeger
Marcel Herzog
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National UniversityCanberra, Australia 2600
Cheryl E. Praeger
Affiliation:
Department of Mathematics University of Western AustraliaNedlands, WA, Australia
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Abstract

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The proof of Theorem 5 in a paper with the same title is incorrect. In this note weaker versions of that theorem are proved.

MSC classification

Secondary: 20B05: General theory for finite groups
Type
Corrigendum
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 3 , November 1978 , pp. 383 - 384
Copyright
Copyright © Australian Mathematical Society 1978

References

Herzog, M. and Praeger, C. E. (1976), ‘On the fixed points of Sylow subgroups of transitive permutation groups’, J. Austral. Math. Soc. (Ser. A) 21, 428–437.CrossRefGoogle Scholar
Praeger, C. E. (1978a), ‘Sylow subgroups of transitive permutation groups, II’ (to appear).CrossRefGoogle Scholar
Praeger, C. E. (1978b), ‘On transitive permutation groups with a subgroup satisfying a certain conjugacy condition’ (submitted).Google Scholar
Wielandt, H. (1964), Finite permutation groups (New York-London, Academic Press, 1964).Google Scholar