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RATIONAL NEARLY SIMPLE GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  21 September 2020

FARIDEH SHAFIEI Open the ORCID record for FARIDEH SHAFIEI [Opens in a new window] ,
MOHAMMAD REZA DARAFSHEH Open the ORCID record for MOHAMMAD REZA DARAFSHEH [Opens in a new window]  and
FARROKH SHIRJIAN Open the ORCID record for FARROKH SHIRJIAN [Opens in a new window]
FARIDEH SHAFIEI*
Affiliation:
School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran School of Mathematics, Institute for Research in Fundamental Sciences (IPM), 19395-5746, Tehran, Iran
MOHAMMAD REZA DARAFSHEH*
Affiliation:
School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
FARROKH SHIRJIAN*
Affiliation:
Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
*
e-mail: farideh14shafiei@gmail.com
e-mail: darafsheh@ut.ac.ir
e-mail: fashirjian@gmail.com
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Abstract

A finite group whose irreducible complex characters are rational-valued is called a rational group. The aim of this paper is to determine the rational almost simple and rational quasi-simple groups.

Keywords

rational groupsalmost simple groupsquasi-simple groups

MSC classification

Primary: 20C15: Ordinary representations and characters
Secondary: 20D05: Finite simple groups and their classification
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 3 , June 2021 , pp. 475 - 485
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The first-named author gladly acknowledges the financial support of the University of Tehran during the course of this work. The research of the first-named author was also in part supported by a grant from IPM (No. 99200027). The third-named author was in part supported by the Grant No. 98012009 from the Iranian National Science Foundation (INSF).

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