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SOME EQUATIONS OVER TORSION-FREE GROUPS

SEONG KUN KIM

Department of Mathematics, Pusan National University, Pusan, South Korea 609-735, South Korea

https://doi.org/10.1142/S0218196706003013Cited by:2 (Source: Crossref)

Abstract

We prove that equations x^m₁ h₁ x^m₂ h₂ ⋯ x^m_k h_k over torsion-free groups are solvable when k ≤ 4. In the conclusion, we assert that the Levin question is equivalent to solving certain equations with exponent sum zero over torsion-free groups.

Keywords:

AMSC: 20F05

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