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Matematicheskie Zametki, 2018, Volume 103, Issue 2, paper published in the English version journal
(Mi mzm11183)
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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
Real-Imaginary Conjugacy Classes and Real-Imaginary
Irreducible Characters in Finite Groups
S. M. Robati Imam Khomeini International University,
Qazvin, Iran
Abstract:
Let
$G$
be a finite group.
A character
$\chi$
of
$G$
is said to be
real-imaginary if its values are real or purely imaginary.
A conjugacy class
$C$
of
$a$
in
$G$
is real-imaginary if and only if
$\chi(a)$
is real or purely imaginary for all irreducible characters
$\chi$
of
$G$.
A finite group
$G$
is called real-imaginary if all of its irreducible characters
are real-imaginary.
In this paper, we describe real-imaginary conjugacy classes
and irreducible characters and study some results related to the
real-imaginary groups.
Moreover, we investigate some connections between
the structure of group
$G$
and both the set of all
the real-imaginary irreducible characters of
$G$
and the set of
all the real-imaginary conjugacy classes of
$G$.
Keywords:
conjugacy classes, irreducible characters, real group.
Received: 18.03.2016 Revised: 01.01.2017
Citation:
S. M. Robati, “Real-Imaginary Conjugacy Classes and Real-Imaginary
Irreducible Characters in Finite Groups”, Math. Notes, 103:2 (2018), 251–258
Linking options:
https://www.mathnet.ru/eng/mzm11183
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