We prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitting subgroup of G is at most the square of the largest irreducible character degree of G.
Large character degrees of solvable groups with abelian Sylow 2-subgroups.
JABARA, Enrico;
2007-01-01
Abstract
We prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitting subgroup of G is at most the square of the largest irreducible character degree of G.
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