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Character degrees, derived length and Sylow normalizers

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Abstract.

Let P be a Sylow p-subgroup of a monomial group G. We prove that dl \( ({\Bbb N}_G (P)/P') \) is bounded by the number of irreducible character degrees of G which are not divisible by p.

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Received: 30.7.1996

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Navarro, G. Character degrees, derived length and Sylow normalizers. Arch. Math. 68, 450–453 (1997). https://doi.org/10.1007/s000130050077

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  • DOI: https://doi.org/10.1007/s000130050077

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