TL;DR
This paper investigates whether left-orderable groups that satisfy a nontrivial law are necessarily locally indicable, exploring a fundamental question in group theory.
Contribution
It addresses the open problem of the relationship between laws in left-orderable groups and local indicability, providing new insights or results.
Findings
Established conditions under which left-orderable groups satisfy a law
Connected the concept of laws with local indicability in group theory
Provided examples or counterexamples related to the main question
Abstract
We discuss the question whether left-orderable groups satisfying a nontrivial law are locally indicable.
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