On the asphericity of length-6 relative presentations with torsion-free coefficients

초록

An interesting result of Ivanov implies that a non-aspherical relative presentation that defines a torsion-free group would provide a potential counterexample to the Kaplansky zero-divisor conjecture. In this point of view, we prove the asphericity of the length-6 relative presentation (H, x : xh(1)xh(2)xh(3)xh(4)xh(5)xh(6)), provided that each coefficient is torsion free.

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