22 citations · 189 across the 96 of their papers we have counts for
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math.RA2026
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…
math.RA2023
Commuting and product-zero probability in finite rings
Pavel Shumyatsky, Matteo Vannacci
Let cp(R) be the probability that two random elements of a finite ring R commute and zp(R) the probability that the product of two random elements in R is zero. We show that if cp(…
math.RA2012
Double automorphisms of graded Lie algebras
Cristina Acciarri, Pavel Shumyatsky
We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear…