School of Mathematics, Thapar Institute of Engineering and Technology,
Patiala, 147004 India
Аннотация:
Let
$G$
be a group and
$\operatorname{Aut}(G)$
be its automorphism group.
An automorphism
$\alpha$
of
$G$
is called a commuting automorphism if
$\alpha(x)x=x\alpha(x)$
for all
$x\in G$.
The set of all commuting automorphisms of
$G$
is denoted by
$A(G)$.
We find some cases when
$A(G)$
is a subgroup of
$\operatorname{Aut}(G)$.
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