Finite groups all of whose proper subgroups have few character values

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

Bibliographic Details
Main Authors: Shitian Liu, Runshi Zhang
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023454?viewType=HTML
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author Shitian Liu
Runshi Zhang
author_facet Shitian Liu
Runshi Zhang
author_sort Shitian Liu
collection DOAJ
description In this paper, the structures of non-solvable groups whose all proper subgroups have at most seven character values are identified.
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language English
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spelling doaj.art-a323d8ce6f56462db03f5c4dd4616d512023-03-02T01:24:47ZengAIMS PressAIMS Mathematics2473-69882023-02-01849074908110.3934/math.2023454Finite groups all of whose proper subgroups have few character valuesShitian Liu 0Runshi Zhang 11. School of Mathematics, Lianhu Campus, Sichuan Institute of Arts and Science Dazhou Sichuan 635000, China2. School of Mathematical Science and Statistics Sichuan University of Science and Engineering Zigong Sichuan 643000, ChinaIn this paper, the structures of non-solvable groups whose all proper subgroups have at most seven character values are identified.https://www.aimspress.com/article/doi/10.3934/math.2023454?viewType=HTMLsimple groupcharacter valueproper subgroup
spellingShingle Shitian Liu
Runshi Zhang
Finite groups all of whose proper subgroups have few character values
AIMS Mathematics
simple group
character value
proper subgroup
title Finite groups all of whose proper subgroups have few character values
title_full Finite groups all of whose proper subgroups have few character values
title_fullStr Finite groups all of whose proper subgroups have few character values
title_full_unstemmed Finite groups all of whose proper subgroups have few character values
title_short Finite groups all of whose proper subgroups have few character values
title_sort finite groups all of whose proper subgroups have few character values
topic simple group
character value
proper subgroup
url https://www.aimspress.com/article/doi/10.3934/math.2023454?viewType=HTML
work_keys_str_mv AT shitianliu finitegroupsallofwhosepropersubgroupshavefewcharactervalues
AT runshizhang finitegroupsallofwhosepropersubgroupshavefewcharactervalues