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A complete group of odd order

Published online by Cambridge University Press:  24 October 2008

R. S. Dark
R. S. Dark
Affiliation:
University College, Galway, Ireland
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Extract

A group G is said to be complete if the centre of G is trivial and every automorphism of G is inner; this means that G is naturally isomorphic to Aut G, the group of automorphisms of G. In response to a question of Rose (10) we shall describe the construction of an example demonstrating the following result. (Rose has pointed out that the problem was mentioned earlier by Miller (8).)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 1 , January 1975 , pp. 21 - 28
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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