Abstract
Abstract
The central kernel
$K(G)$
of a group G is the (characteristic) subgroup consisting of all elements
$x\in G$
such that
$x^{\gamma }=x$
for every central automorphism
$\gamma $
of G. We prove that if G is a finite-by-nilpotent group whose central kernel has finite index, then the full automorphism group
$Aut(G)$
of G is finite. Some applications of this result are given.
Publisher
Cambridge University Press (CUP)
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1 articles.
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