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Large orbits ofp-groups on characters and applications to character degrees

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Abstract

We prove that if ap-groupA acts on a solvablep′-groupG then there is a “large” orbit on the ordinary complex irreducible characters ofG. As a consequence of this theorem we obtain results that relate ordinary and Brauer character degrees.

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Authors and Affiliations

  1. Department d'Àlgebra, Universitat de València, 46100, Burjassot, València, Spain

    Alexander Moretó

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  1. Alexander Moretó
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Correspondence to Alexander Moretó.

Additional information

Research supported by the FEDER, the Spanish Ministerio de Ciencia y Tecnología, grant BFM2001-0180, and Programa Ramón y Cajal.

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Moretó, A. Large orbits ofp-groups on characters and applications to character degrees. Isr. J. Math. 146, 243–251 (2005). https://doi.org/10.1007/BF02773535

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  • DOI: https://doi.org/10.1007/BF02773535

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