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A Note on Brauer Character Degrees of Solvable Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
Let G be a finite solvable group. Fix a prime integer p and let t be the number of distinct degrees of irreducible Brauer characters of G with respect to the prime p. We obtain the bound 3t — 2 for the derived length of a Hall p'-subgroup of G. Furthermore, if |G| is odd, then the derived length of a Hall p'-subgroup of G is bounded by /.
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- Copyright © Canadian Mathematical Society 1991
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