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On groups with large character degree sums |
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| Authors: | Hung P. Tong-Viet |
| Affiliation: | 1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, 3209, South Africa |
| Abstract: | Let G be a finite group, and let T(G) be the sum of all complex irreducible character degrees of G. Define ${f(G) = frac{T(G)}{|G|}}$ . In this paper, we show that if G is a finite group and ${f(G) > frac{4}{15}}$ , then G is solvable. |
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