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.
References
Primary source
Jonathan Ariel Barmak and Elias Gabriel Minian, “A new test for asphericity and diagrammatic reducibility of group presentations”, arXiv:1601.00604 (2016).
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