R. Esteban-Romero

activity

20222026

most citedCentral nilpotency of left skew braces and solutions of the Yang-Baxter equation

7 citations · 14 across the 17 of their papers we have counts for

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4 papers · 1 filter

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★ 1 cited

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

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 $C_{4} \times C_{4} \times C_{4}$ is 1\,515\,429.

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…

Enumeration of left braces with additive group C2​×C2​×C4​×C4​

Enumeration of left braces with additive group C4​×C4​×C4​

Bounds on the number of maximal subgroups of finite groups

Maximal subgroups of small index of finite almost simple groups

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

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