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 Mat. Zametki, 2018, Volume 103, Issue 2, paper published in the English version journal (Mi mz11183)

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.

English version:
Mathematical Notes, 2018, 103:2, 251–258

Bibliographic databases:

Revised: 01.01.2017
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Citation: S. M. Robati, “Real-Imaginary Conjugacy Classes and Real-Imaginary Irreducible Characters in Finite Groups”, Math. Notes, 103:2 (2018), 251–258

Citation in format AMSBIB
\Bibitem{Mah18} \by S.~M.~Robati \paper Real-Imaginary Conjugacy Classes and Real-Imaginary Irreducible Characters in Finite Groups \jour Math. Notes \yr 2018 \vol 103 \issue 2 \pages 251--258 \mathnet{http://mi.mathnet.ru/mz11183} \crossref{https://doi.org/10.1134/S0001434618010261} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000427616800026} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043782874}