A. Ballester-Bolinches

activity

20162024

most citedOn the Frattini subgroup of a finite group

3 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.GR2024

Finite groups with some subgroups of prime power order satisfying the partial $Π$ -property

Zhengtian Qiu, Adolfo Ballester-Bolinches

Let $H$ be a subgroup of a finite group $G$ . We say that $H$ satisfies the partial $Π$ -property in $G$ if there exists a $G$ -chief series $ \varGamma_{G}: 1 =G_{0} < G_{1}…

math.GR2023★ 1 cited

Soluble skew left braces and soluble solutions of the Yang-Baxter equation

Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Paz Jiménez-Seral +1

The study of non-degenerate set-theoretic solutions of the Yang-Baxter equation calls for a deep understanding of the algebraic structure of a skew left brace. In this paper, the s…

math.GR2023

From actions of an abelian group on itself to left braces

Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Leonid A. Kurdachenko +1

We present a construction of left braces of right nilpotency class at most two based on suitable actions of an abelian group on itself with an invariance condition. This constructi…

math.GR2022

Enumeration of left braces with additive group $C_{2} \times C_{2} \times C_{4} \times C_{4}$

A. Ballester-Bolinches, R. Esteban-Romero, V. Pérez-Calabuig

We show that the number of isomorphism classes of left braces of order~ $64$ with additive group isomorphic to $C_{2} \times C_{2} \times C_{4} \times C_{4}$ is $10326821$ . This completes…

math.GR2022★ 2 cited

Bounds on the number of maximal subgroups of finite groups

A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral

In this paper we obtain significant bounds for the number of maximal subgroups of a given index of a finite group. These results allow us to give new bounds for the number of rando…

math.GR2022★ 2 cited

Maximal subgroups of small index of finite almost simple groups

A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral

We prove in this paper that a finite almost simple group $R$ with socle the non-abelian simple group $S$ possesses a conjugacy class of core-free maximal subgroups whose index coin…

math.GR2016★ 3 cited

On the Frattini subgroup of a finite group

Stefanos Aivazidis, Adolfo Ballester-Bolinches

We study the class of finite groups $G$ satisfying $Φ (G / N) = Φ (G) N / N$ for all normal subgroups $N$ of $G$ . As a consequence of our main results we extend and amplify a theorem of Do…

Finite groups with some subgroups of prime power order satisfying the partial Π-property