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Total Character of a Group G with (G, Z(G)) as a Generalized Camina Pair
Published online by Cambridge University Press: 20 November 2018
Abstract
We investigate whether the total character of a finite group
$G$
is a polynomial in a suitable irreducible character of
$G$
. When
$\left( G,\,Z\left( G \right) \right)$
is a generalized Camina pair, we show that the total character is a polynomial in a faithful irreducible character of
$G$
if and only if
$Z\left( G \right)$
is cyclic.
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- Research Article
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- Copyright © Canadian Mathematical Society 2016
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