4 papers
Relative commuting probability and BFC-type results for finite skew braces
Susanta Mondal, Pavel Shumyatsky, Marco Trombetti +1
We develop a probabilistic approach to the structure of finite skew left braces, motivated both by classical commuting probability in finite group theory and by the role of skew le…
Commuting probability of skew left braces
Susanta Mondal, Manoj K. Yadav
We introduce a concept of the commuting probability of a skew left brace analogous to group theory. We establish upper and lower bounds for the commuting probability and prove that…
Skew brace extensions, second cohomology and complements
Nishant Rathee, Manoj K. Yadav
We study extensions and second cohomology of skew left braces via the natural semi-direct products associated with the skew left braces. Let be a skew b…
Central series' and ()-isoclinism of skew left braces
Arpan Kanrar, Charlotte Roelants, Manoj K. Yadav
The aim of this article is to advance the knowledge on the theory of skew left braces. We introduce a subclass of skew left braces, which we denote by , , s…