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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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| 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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oai:ojs.admjournal.luguniv.edu.ua:article-10092018-05-15T06:58:22Z On intersections of normal subgroups in groups Kulikova, O. V. Normal closure of sets of elements in groups, presentations of groups, pictures, mutual commutants, intersection of groups, aspherisity 20F05 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 \(i=1,2\). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1009 Algebra and Discrete Mathematics; Vol 3, No 4 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1009/538 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-15T06:58:22Z |
| collection |
OJS |
| language |
English |
| topic |
Normal closure of sets of elements in groups presentations of groups pictures mutual commutants intersection of groups aspherisity 20F05 |
| spellingShingle |
Normal closure of sets of elements in groups presentations of groups pictures mutual commutants intersection of groups aspherisity 20F05 Kulikova, O. V. On intersections of normal subgroups in groups |
| topic_facet |
Normal closure of sets of elements in groups presentations of groups pictures mutual commutants intersection of groups aspherisity 20F05 |
| format |
Article |
| author |
Kulikova, O. V. |
| author_facet |
Kulikova, O. V. |
| author_sort |
Kulikova, O. V. |
| title |
On intersections of normal subgroups in groups |
| title_short |
On intersections of normal subgroups in groups |
| title_full |
On intersections of normal subgroups in groups |
| title_fullStr |
On intersections of normal subgroups in groups |
| title_full_unstemmed |
On intersections of normal subgroups in groups |
| title_sort |
on intersections of normal subgroups in groups |
| description |
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 \(i=1,2\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1009 |
| work_keys_str_mv |
AT kulikovaov onintersectionsofnormalsubgroupsingroups |
| first_indexed |
2025-07-17T10:30:48Z |
| last_indexed |
2025-07-17T10:30:48Z |
| _version_ |
1837890128856481792 |