TL;DR
This paper explores the relationship between quasimorphisms and laws in groups, demonstrating that stable commutator length is zero in groups satisfying a law, revealing structural constraints.
Contribution
It establishes that stable commutator length vanishes in groups obeying a law, connecting algebraic laws with geometric group invariants.
Findings
Stable commutator length vanishes in groups obeying a law
Groups satisfying a law have constrained quasimorphism spaces
The result links algebraic laws to geometric properties of groups
Abstract
Stable commutator length vanishes in any group that obeys a law.
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Taxonomy
Topicssemigroups and automata theory