Ivanov's asphericity conjecture
Ivanov's asphericity conjecture
Let
be an aspherical presentation. Let
be a presentation such that the total exponent of in is nonzero, the group presented by naturally embeds in the group presented by , and is torsion-free.
Ivanov's asphericity conjecture. Then is aspherical.
The conjecture is refuted: Ivanov showed that a counterexample would provide a torsion-free group whose integral group ring contains zero divisors, while the supplied status evidence records the conjecture as disproved.
Sources & referencesView supporting material
Primary source
Jonathan Ariel Barmak and Elias Gabriel Minian, “A new test for asphericity and diagrammatic reducibility of group presentations”, arXiv:1601.00604 (2016).
Progress summary
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