Right-angled Artin subgroups and free products in one-relator groups

2024/04/23 by Minasyan, Ashot, Valiunas, Motiejus
#20E06 #20E07 #20E08 #20F05 (primary) #20M05 #46L35 (secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2404.15479

Abstract

We investigate criteria ensuring that a one-relator group G contains a right-angled Artin subgroup A(Γ), corresponding to a finite graph Γ. In particular, we prove that if Γ is a forest with at least one edge and the positive submonoid T(Γ), of A(Γ), embeds into G then so does all of A(Γ). As by-products of our methods we obtain characterisations of one-relator groups that have property P_nai and that are C^*-simple.

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