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Automorphisms of certain p-groups (p odd).

Published online by Cambridge University Press:  17 April 2009

M.J. Curran
M.J. Curran
Affiliation:
Department of Maths and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand.
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Abstract

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This paper shows that amongst the p-groups of order p5, where p denotes an odd prime, there is only one group whose automorphism group is again a p-group. This automorphism group has order p6 and it is shown that this is the smallest order a p-group may have when it occurs as an automorphism group. The paper also shows that all groups of order p5 have an automorphism of order 2 apart from the group above and three other related groups.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 2 , October 1988 , pp. 299 - 305
Copyright
Copyright © Australian Mathematical Society 1988

References

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