On intersections of normal subgroups in groups

On intersections of normal subgroups in groups

The paper is a generalization of [2]. For a group \(H=\langle A|O\rangle\), conditions for the equality \(\bar N_1\cap \bar N_2 = [\bar N_1,\bar N_2]\) are given in terms of pictures, where \(\bar N_i\) is the normal closure of a set \(\bar R_i\subset H\) for \(i=1,2\).

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Bibliographic Details
Date:2018
Main Author: Kulikova, O. V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Normal closure of sets of elements in groups
presentations of groups
pictures
mutual commutants
intersection of groups
aspherisity
20F05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1009
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
Description
Summary:The paper is a generalization of [2]. For a group \(H=\langle A|O\rangle\), conditions for the equality \(\bar N_1\cap \bar N_2 = [\bar N_1,\bar N_2]\) are given in terms of pictures, where \(\bar N_i\) is the normal closure of a set \(\bar R_i\subset H\) for \(i=1,2\).

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