The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree

Juan Martínez Madrid

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arXiv · 2409.03345

The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree

Juan Martínez Madrid

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Abstract

We classify all finite groups such that all irreducible character degrees appear with multiplicity at most $2$. As a consequence, we prove that the largest group with at most $2$ irreducible characters of the same degree is the Baby Monster.

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Juan Martínez Madrid. 2025-02-12. The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree. https://arxiv.org/abs/2409.03345

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