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Matematicheskie Zametki, 2019, Volume 106, Issue 2, paper published in the English version journal
(Mi mzm12567)
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This article is cited in 2 scientific papers (total in 2 papers)
Papers published in the English version of the journal
Brief Communications
On Commuting Automorphisms of Finite $p$-Groups with a Metacyclic Quotient
R. Garg Govt. Ripudaman College, Nabha, 147 201 India
Abstract:
Let
$G$
be a finite non-Abelian
$p$-group, where
$p$
is an odd prime, such that
$G/Z(G)$
is
metacyclic.
We prove that all commuting automorphisms of
$G$
form a subgroup of
$\text{Aut}(G)$
if and only if
$G$
is of nilpotence class 2.
Keywords:
commuting automorphism, metacyclic
$p$-group.
Received: 17.10.2018 Revised: 17.10.2018
Citation:
R. Garg, “On Commuting Automorphisms of Finite $p$-Groups with a Metacyclic Quotient”, Math. Notes, 106:2 (2019), 296–298
Linking options:
https://www.mathnet.ru/eng/mzm12567
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