Corpus ID: 211032077

# Degree of satisfiability of some special equations

@article{Kocsis2020DegreeOS,
title={Degree of satisfiability of some special equations},
author={Zoltan A. Kocsis},
journal={arXiv: Group Theory},
year={2020}
}
• Zoltan A. Kocsis
• Published 2020
• Mathematics
• arXiv: Group Theory
• A well-known theorem of Gustafson states that in a non-Abelian group the degree of satisfiability of $xy=yx$, i.e. the probability that two uniformly randomly chosen group elements $x,y$ obey the equation $xy=yx$, is no larger than $\frac{5}{8}$. The seminal work of Antolin, Martino and Ventura (arXiv:1511.07269) on generalizing the degree of satisfiability to finitely generated groups led to renewed interest in Gustafson-style properties of other equations. Positive results have recently been… CONTINUE READING