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Bounding an index by the largest character degree of a solvable group
Index Character Degree p-radical
2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...