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

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