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A Note on Average Codegrees of All Proper Subgroups of Finite Groups
School of Mathematics, Sichuan University of Arts and Science, Dazhou, China
School of Mathematics, Sichuan University of Arts and Science, Dazhou, China
- 1 School of Mathematics, Sichuan University of Arts and Science, Dazhou, China
- 2 School of Mathematics, Sichuan University of Arts and Science, Dazhou, China
Applied Mathematics·Volume 16 (2025)·Pages 347–356·Published 11 April 2025·DOI10.4236/am.2025.164018
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Abstract
Let G be a finite group and let T ( G ) be the sum of codegrees of complex irreducible characters of a group G . Say f ( G ) = T ( G ) | G | . We prove that a finite group G such that for all proper subgroup H , 1.1 < f ( H ) < 1.3 , is solvable.
KeywordsSimple GroupCharacter Codegree SumProper Subgroup
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