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Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees
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For an irreducible character x of a finite group G,the codegree of x is de-fined as |G:ker(x)|/x(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.
Character codegreeNonsolvable group
Dongfang YANG、Yu ZENG
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Department of Mathematics,Changshu Institute of Technology,Changshu 215500,Jiangsu,China
国家自然科学基金国家自然科学基金国家自然科学基金江苏省自然科学基金Natural Science Foundation for the Universities in Jiangsu Province
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