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Irreducible subrepresentations of the conjugation representation of finitep-groups

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Abstract

For finitep-groupsG we study the conjugation representation γG which is defined by lettingG act on itself by conjugation. Roth conjectured that every irreducible representation ofG which is trivial on the center ofG, occurs in γG. However, this is not true in general. We construct minimal counterexamples and verify Roth's conjecture for various classes of finitep-groups, for instance those of maximal class.

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  1. Fachbereich Mathematik-Informatik, Universität-Gesamthochschule Paderborn, Warburger Straße 100, D-4790, Paderborn, Federal Republic of Germany

    Eberhard Kaniuth & Annette Markfort

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  1. Eberhard Kaniuth
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  2. Annette Markfort
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Dedicated to Professor George Maltese on the occasion of his 60th birthday

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Kaniuth, E., Markfort, A. Irreducible subrepresentations of the conjugation representation of finitep-groups. Manuscripta Math 74, 161–175 (1992). https://doi.org/10.1007/BF02567665

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  • DOI: https://doi.org/10.1007/BF02567665

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