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Brief Report | Open Access

Finite groups all of whose proper subgroups have few character values

Shitian Liu1, Runshi Zhang2( )
School of Mathematics, Lianhu Campus, Sichuan Institute of Arts and Science Dazhou Sichuan 635000, China
School of Mathematical Science and Statistics Sichuan University of Science and Engineering Zigong Sichuan 643000, China
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Abstract

In this paper, the structures of non-solvable groups whose all proper subgroups have at most seven character values are identified.

Keywords

simple groupcharacter valueproper subgroup
CLC number: 20C15, 20C33

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9074-9081
DOI: 10.3934/math.2023454

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Liu S, Zhang R. Finite groups all of whose proper subgroups have few character values. AIMS Mathematics, 2023, 8(4): 9074-9081. https://doi.org/10.3934/math.2023454

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Received: 30 December 2022
Revised: 11 January 2023
Accepted: 29 January 2023
Published: 13 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)