Abstract
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).)
Publisher
Cambridge University Press (CUP)
Cited by
17 articles.
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1. Complete Groups of Order 3P(6);ADV GROUP THEOR APPL;2016
2. Minimal odd order automorphism groups;Journal of Group Theory;2010-01
3. Construction of complete generalized algebraic groups;Science in China Series A;2005
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5. A family of Fitting classes of supersoluble groups;Mathematical Proceedings of the Cambridge Philosophical Society;1995-07