Weakly finitely presented infinite periodic groups

الأصل · EN

A group G given by a presentation G = < A R > is called weakly finitely presented if every finitely generated subgroup of G, generated by (images of) some words in A± ¹, is naturally isomorphic to the subgroup of a group G₀ = < A₀ R₀>, where A₀ A, R₀ R are finite, generated by (images of) the same words. In the article, weakly finitely presented periodic groups which are not locally finite are constructed.