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

arXiv - MATH - Group Theory Pub Date : 2024-09-05 DOI:arxiv-2409.03345

Juan Martínez Madrid

引用次数: 0

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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婴儿怪兽是拥有最多 2$ 个具有相同度数的不可还原字符的最大群组。

我们对所有有限群进行了分类，这些有限群的所有不可约字符度都以最多 2$ 的乘数出现。因此，我们证明了具有至多 2$ 个相同度不可还原特征的最大群是 "婴儿怪兽 "群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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arXiv - MATH - Group Theory

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