Levin's conjecture for an equation of length nine

2020/08/16 by Muhammad Akram, Akram, Muhammad Saeed, Khawar Hussain +1
Mathematics · #20E06 #20F05 #57M05 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2008.06846

openalex publication_date 2020/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Levin's conjecture has been established to hold true for group equations of length up to seven. Recently, it is shown that Levin's conjecture is also true (modulo exceptional cases) for some group equations of length eight and nine. In this paper we consider a group equation of length nine and show that the Levin's conjecture is true for this equation modulo some exceptional cases.

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