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Torsion in semicomplete nilpotent groups

Published online by Cambridge University Press:  24 October 2008

Thomas A. Fournelle
Thomas A. Fournelle
Affiliation:
University of Alabama, University, AL 35486, U.S.A.
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Extract

Let Aut G and Inn G denote the group of all automorphisms of the group G and the subgroup of all inner automorphisms of G, respectively. A group G is said to be complete if it has trivial centre and Aut G = Inn G. Examples of such groups abound and they have been the object of study for many years. Following Heineken (8) we call a group G semicomplete if Aut G = Inn G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 2 , September 1983 , pp. 191 - 202
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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