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Every finitely presented group has presentation satisfying $C'(1/5)$. Note that $1/5 < 5/11$. See the book by Lyndon and SchuppOlshanskii's book "Geometry of defining relations of groups".

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Every finitely presented group has presentation satisfying $C'(1/5)$. Note that $1/5 < 5/11$. See the book by Lyndon and Schupp.