1 citations · 1 across the 4 of their papers we have counts for
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On left braces in which every subbrace is an ideal II
A. Ballester-Bolinches, R. Esteban-Romero, L. A. Kurdachenko +1
The aim of this paper is to take the study of Dedekind braces, that is, left braces for which every subbrace is an ideal, started in a previous paper, further. Dedekind braces …
On a class of involutive Yang-Baxter groups
H. Meng, A. Ballester-Bolinches, P. Jiménez-Seral
A group is called an involutive Yang-Baxter group (IYB-group) if it is isomorphic to the permutation group of an involutive, non-degenerate set-theoretic solution of the Yang-Baxte…
On left braces in which every subbrace is an ideal
A. Ballester-Bolinches, R. Esteban-Romero, L. A. Kurdachenko +1
The aim of this paper is to introduce and study the class of all left braces in which every subbrace is an ideal. We call them Dedekind left braces. It is proved that every finite…
Enumeration of left braces with additive group
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 is 1\,515\,429.
On some products of finite groups
A. Ballester-Bolinches, S. Y. Madanha, M. C. Pedraza-Aguilera +1
A classical result of Baer states that a finite group which is the product of two normal supersoluble subgroups is supersoluble if and only if is nilpotent. In this ar…