Abstract
This paper considers epimorphisms of finitely generated one-relator groups G = F / R , F G = F/R,F free, R ⊆ F p [ F , F ] R \subseteq {F^p}[F,F] for some rational prime p p . The main result is a lower bound for the difference rank G G -rank G ′ G’ when G ′ G’ is a one-relator group homomorphic to G G . This generalizes a known result for the case G ′ G’ a free group.
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