Antonio Beltr'an

collaborators

3 papers

math.GR2026

Finite groups with conjugacy classes of size $2 p^{n}$

Antonio Beltran, Changguo shao

We extend Burnside's $p^{a}$ -Theorem on conjugacy classes of prime-power size by proving that no non-abelian finite simple group possesses a conjugacy class of size $2 p^{n}$ for any pr…

math.GR2025

Cosets of normal subgroups and union of two conjugacy classes

Antonio Beltrán

Let $G$ be a finite group, $N$ a normal subgroup of $G$ and $x \in G - N$ . We discuss when the coset $N x$ is contained in the union of two conjugacy classes, $K$ and $D$ , of $G$ . We s…

math.GR2025

Supersolvable subgroups of order divisible by 3

Antonio Beltrán, Changguo Shao

We determine the structure of the finite non-solvable groups of order divisible by $3$ all whose maximal subgroups of order divisible by $3$ are supersolvable. Precisely, we demons…

Finite groups with conjugacy classes of size 2pn

Cosets of normal subgroups and union of two conjugacy classes

Supersolvable subgroups of order divisible by 3

Finite groups with conjugacy classes of size $2 p^{n}$