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On the character degree sums
Authors:Hongfei Pan  Xianhua Li
Affiliation:1. School of Mathematical Sciences, Soochow University, Suzhou, Chinahfpanha@163.com;3. School of Mathematical Sciences, Soochow University, Suzhou, China
Abstract:Let G be a finite group, and T(G) be the sum of all complex irreducible character degrees of G. In this paper, we get the exact lower bound of |G|∕T(G) for a non-r-solvable group G.
Keywords:Character degree sum  nonsolvable group  r-solvable group
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