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On soluble groups which admit the dihedral group of order eight fixed-point-freely

Published online by Cambridge University Press:  17 April 2009

Alan R. Camina  and
F. Peter Lockett
Alan R. Camina
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich, England.
F. Peter Lockett
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich, England.
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Abstract

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If the finite soluble group G admits the dihedral group of order eight as a fixed-point-free group of automorphisms then the nilpotent length of G is at most three.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 305 - 312
Copyright
Copyright © Australian Mathematical Society 1973

References

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