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Some automorphisms of finite nilpotent groups
Published online by Cambridge University Press: 18 May 2009
Extract
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.
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- Copyright © Glasgow Mathematical Journal Trust 1960
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