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Automorphisms of certain p-groups (p odd).
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
- 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
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