Finite Groups Whose All Proper Subgroups Have Only Irreducible Characters of Square-free Degrees
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Published:2024-04-26
Issue:4
Volume:77
Page:
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ISSN:2367-5535
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Container-title:Proceedings of the Bulgarian Academy of Sciences
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language:
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Short-container-title:C. R. Acad. Bulg. Sci.
Author:
Liu Shitian,Luo Xiaoqiang,Jiang Hongmei
Abstract
Lewis determined the structure of finite groups whose irreducible character odd-degrees are square-free. In this paper, we give an identification of the structure of non-solvable groups whose proper subgroups have only square-free degrees.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)