Nonsolvable Groups with Three Nonlinear IrreducibleCharacter Codegrees∗

Citation:

Dongfang YANG,Yu ZENG.Nonsolvable Groups with Three Nonlinear IrreducibleCharacter Codegrees∗[J].Chinese Annals of Mathematics B,2024,45(2):173~178
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Authors:

Dongfang YANG; Yu ZENG

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos. 12301018, 12171058, 12326356), the Natural Science Foundation of Jiangsu Province (No. BK20231356) and the Natural Science Foundation for the Universities in Jiangsu Province (No. 23KJB110002).
Abstract: For an irreducible character χ of a finite group G, the codegree of χ is defined as |G : ker(χ)|/χ(1). In this paper, the authors determine finite nonsolvable groups with exactly three nonlinear irreducible character codegrees, which are L2(2f ) for f ≥ 2, PGL2(q) for odd q ≥ 5 or M10.

Keywords:

Character codegree, Nonsolvable group

Classification:

20C15, 20D25
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