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Matematicheskie Zametki, 2020, Volume 107, Issue 3, paper published in the English version journal
(Mi mzm12322)
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This article is cited in 4 scientific papers (total in 4 papers)
Papers published in the English version of the journal
Brief Communications
On Commuting Automorphisms of Some Finite
$p$-Groups
R. Garg, D. Gumber School of Mathematics, Thapar Institute of Engineering and Technology,
Patiala, 147004 India
Abstract:
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
$\operatorname{Aut}(G)$.
Keywords:
Commuting automorphism, Frattinian
$p$-group, Camina pair.
Received: 19.01.2019 Revised: 14.06.2019
Citation:
R. Garg, D. Gumber, “On Commuting Automorphisms of Some Finite
$p$-Groups”, Math. Notes, 107:3 (2020), 525–528
Linking options:
https://www.mathnet.ru/eng/mzm12322
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