Weakly Finitely Presented Infinite Periodic Groups

نویسنده

  • S. V. IVANOV
چکیده

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, 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.

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تاریخ انتشار 2002