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The residual finiteness of positive one-relator groups

The residual finiteness of positive one-relator groups

It is proven that every positive one-relator group which satisfies the ${\rm C}'({1\over6})$ condition has a finite index subgroup which splits as a free product of two free groups amalgamating a finitely generated malnormal subgroup. As a consequence, it is shown that every ${\rm C}'({1\over6})$ positive one-relator group is residually …