Affiliation:
1. Department of Mathematics, Pusan National University, Pusan, 609-735, South Korea
Abstract
It is noteworthy to find whether a relative presentation with torsion-free coefficients is aspherical or not, since a nonaspherical relative presentation that defines a torsion-free group would provide a potential counterexample to the Kaplansky zero-divisor conjecture, see [7]. In this paper we investigate asphericity of the relative group presentation [Formula: see text] provided that m1, m2, …, mk are nonzero integers, k ≤ 3, each coefficient has infinite order and the relator is not a proper power.
Publisher
World Scientific Pub Co Pte Lt
Reference11 articles.
1. Aspherical relative presentations
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3. One-relator products of torsion-free groups
4. On the asphericity of one-relator relative presentations
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