Antonio Beltrán

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20242026

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math.GR2024

A criterion for a normal subgroup to be hypercentral based on class sizes

Antonio Beltrán

Let $G$ be a finite group and $N$ a normal subgroup of $G$ . We prove that the knowledge of the sizes of the conjugacy classes of $G$ that are contained in $N$ and of their multipli…

math.GR2024

p-Nilpotent maximal subgroups in finite groups

Antonio Beltrán, Changguo Shao

Let $p$ be a prime number and suppose that every maximal subgroup of a finite group is either $p$ -nilpotent or has prime index. Such group need not be $p$ -solvable, and we study it…