On the Cardinality of Relator Sets of Groups F/ ∏ [Ni, Nj]

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 { N i | i ∈ I } in a free group F . We obtain conditions for finite presentability of the quotient group F / ∏ [ N i ,  N j ]. In both papers, th...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-09, Vol.257 (6), p.834-838
Main Authors: Kulikova, O. V., Olshanskii, A. Yu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Quotients
Subgroups
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 { N i | i ∈ I } in a free group F . We obtain conditions for finite presentability of the quotient group F / ∏ [ N i ,  N j ]. In both papers, the proof of the main result is based on the properties of verbal wreath products introduced by Alfred Lvovich Shmelkin.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05523-y