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Quotients of permutation groups

Published online by Cambridge University Press:  17 April 2009

John Cossey
John Cossey
Affiliation:
Mathematics DepartmentSchool of Mathematical SciencesAustralian National University, Canberra ACT 0200Australia, e-mail: [email protected]
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Abstract

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If G is a finite permutation group of degree d and N is a normal subgroup of G, Derek Holt has given conditions which show that in some important special cases the least degree of a faithful permutation representation of the quotient G/N will be no larger than d. His conditions do not apply in all cases of interest and he remarks that it would be interesting to know if G/F(G) has a faithful representation of degree no larger than d (where F(G) is the Fitting subgroup of G). We prove in this note that this is the case.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 493 - 495
Copyright
Copyright © Australian Mathematical Society 1998

References

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