On the Cardinality of Relator Sets of Groups F/ ∏ [Ni, Nj]статья
Статья опубликована в журнале из перечня ВАК
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Дата последнего поиска статьи во внешних источниках: 8 апреля 2022 г.
Аннотация:The present paper generalizes the results of our paper “On the finite presentability of the group F/[M, N]” to an arbitrary family of normal subgroups {Ni | i ∈ I} in a free group F. We obtain conditions for finite presentability of the quotient group F/ ∏ [Ni, Nj]. In both papers, the proof of the main result is based on the properties of verbal wreath products introduced by Alfred Lvovich Shmelkin.