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Primitive permutation groups containing a cycle of prime-power length

Published online by Cambridge University Press:  17 April 2009

Richard Henry Levingston
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Abstract

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Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 2 , October 1980 , pp. 315 - 317
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Jordan, C., “Théorèmes sur les groupes primitifs”, J. Math. (2) 16 (1871), 383–408.Google Scholar
[2]Levingston, Richard, “Primitive permutation groups containing a cycle of prime power length”, Bull. London Math. Soc. 10 (1978), 256–260.CrossRefGoogle Scholar
[3]Marggraff, B., Ueber primitive Gruppen mit transitiven Untergruppen geringeren Grades (Buchdruckerei O. Lange, Berlin, [1888/1889]).Google Scholar
[4]Neumann, Peter M., “Primitive permutation groups containing a cycle of prime-power length”, Bull. London Math. Soc. 7 (1975), 298–299.CrossRefGoogle Scholar
[5]Rowlinson, Peter, “Primitive permutation groups containing a 2λ-cycle”, J. London Math. Soc. (2) 10 (1975), 225–227.CrossRefGoogle Scholar
[6]Rowlinson, Peter and Williamson, Alan, “On primitive permutation groups containing a cycle, II”, Bull. London Math. Soc. 6 (1971), 149–151.CrossRefGoogle Scholar
[7]Wielandt, Helmut, Finite permutation groups (Academic Press, New York, London, 1964).Google Scholar
[8]Williamson, Alan, “On primitive permutation groups containing a cycle”, Math. Z. 130 (1973), 159–162.CrossRefGoogle Scholar