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Monomial characters of finite solvable groups

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Abstract

We give new evidence to the fact that the structure of a solvable group can be controlled by irreducible monomial characters. In particular, we inspect the role of monomial characters in the Isaacs–Navarro–Wolf conjecture and in Gluck’s conjecture.

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  1. Department of Mathematics, City, University of London, EC1V 0HB, London, UK

    Damiano Rossi

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  1. Damiano Rossi
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Correspondence to Damiano Rossi.

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The content of this paper is part of the author’s master thesis. This work is supported by the EPSRC Grant EP/T004592/1. I would like to thank Silvio Dolfi for his guidance during this project and for introducing me to representation theory of finite groups. Finally, I thank the anonymous referee for their helpful comments.

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Rossi, D. Monomial characters of finite solvable groups. Arch. Math. 120, 339–347 (2023). https://doi.org/10.1007/s00013-023-01827-4

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  • DOI: https://doi.org/10.1007/s00013-023-01827-4

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