Antonio Beltrán

activity

20242026

collaborators

5 papers

math.GR2026

Finite gropus whose proper subgroups of order divisible by $p$ are supersolvable

Antonio BeltrÃ¡n, Fernando Viudez

Let $p$ be an odd prime, and let $G$ be a finite group whose order is divisible by $p$ . Suppose that every proper subgroup of $G$ whose order is divisible by $p$ is supersolvable,…

math.GR2026

On two questions from the Kourovka Notebook concerning maximal subgroups

Antonio BeltrÃ¡n, Fernando Viudez

Let $p$ be a prime number. When $p$ is odd, we study finite groups in which every maximal subgroup is either non-abelian simple or $p$-nilpotent, as well as those in which ev…

math.GR2025

Indices of non-supersolvable maximal subgroups in finite groups

Antonio BeltrÃ¡n, Changguo Shao

Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvabilit…

math.GR2025

Extensions of a theorem of P. Hall on indexes of maximal subgroups

Antonio BeltrÃ¡n, Changguo Shao

We extend a classical theorem of P. Hall that claims that if the index of every maximal subgroup of a finite group $G$ is a prime or the square of a prime, then $G$ is solvable. Pr…

math.GR2024

p-Nilpotent maximal subgroups in finite groups

Antonio BeltrÃ¡n, 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…

Finite gropus whose proper subgroups of order divisible by p are supersolvable

On two questions from the Kourovka Notebook concerning maximal subgroups

Indices of non-supersolvable maximal subgroups in finite groups

Extensions of a theorem of P. Hall on indexes of maximal subgroups

p-Nilpotent maximal subgroups in finite groups

Finite gropus whose proper subgroups of order divisible by $p$ are supersolvable