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On a theorem of Hughes and Thompson

Published online by Cambridge University Press:  17 April 2009

R.A. Bryce
R.A. Bryce
Affiliation:
School of Mathematical SciencesThe Australian National UniversityCanberra ACT 0200, Australia
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Abstract

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We generalise the notion of proper Hughes subgroup in a group, asking that, for some prime p, the set-complement of the union of two proper subgroups consist solely of elements of order p. A structure theorem for non-p–groups of this type is proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 41 - 48
Copyright
Copyright © Australian Mathematical Society 1994

References

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