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Some automorphisms of finite nilpotent groups

Published online by Cambridge University Press:  18 May 2009

J. C. Howarth
J. C. Howarth
Affiliation:
The University Glasgow
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This note extends the concept of the inner automorphism, but here applies only to those finite groups G for which some member of the lower central series is Abelian. In general (e.g. when G is metabelian) the construction yields an endomorphism semigroup, but in the special case where Gis nilpotent (and may therefore, for our present purposes, be considered as a p-group) a group of automorphisms results.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 4 , September 1960 , pp. 204 - 207
Copyright
Copyright © Glasgow Mathematical Journal Trust 1960

References

1.Hall, P., Groups of prime power order, Proc. London Math. Soc. (2) 36 (1934) 29–95.CrossRefGoogle Scholar