Groups with small cocentralizers
Let \(G\) be a group. If \(S\subseteq G\) is a \(G\)-invariant subset of \(G\), the factor-group \(G/C_G(S)\) is called the cocentralizer of \(S\) in \(G\). In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-801 |
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oai:ojs.admjournal.luguniv.edu.ua:article-8012018-04-04T08:49:22Z Groups with small cocentralizers Otal, Javier Semko, Nikolaj N. Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24, 20F17 Let \(G\) be a group. If \(S\subseteq G\) is a \(G\)-invariant subset of \(G\), the factor-group \(G/C_G(S)\) is called the cocentralizer of \(S\) in \(G\). In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801/331 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-04-04T08:49:22Z |
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OJS |
| language |
English |
| topic |
Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24 20F17 |
| spellingShingle |
Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24 20F17 Otal, Javier Semko, Nikolaj N. Groups with small cocentralizers |
| topic_facet |
Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24 20F17 |
| format |
Article |
| author |
Otal, Javier Semko, Nikolaj N. |
| author_facet |
Otal, Javier Semko, Nikolaj N. |
| author_sort |
Otal, Javier |
| title |
Groups with small cocentralizers |
| title_short |
Groups with small cocentralizers |
| title_full |
Groups with small cocentralizers |
| title_fullStr |
Groups with small cocentralizers |
| title_full_unstemmed |
Groups with small cocentralizers |
| title_sort |
groups with small cocentralizers |
| description |
Let \(G\) be a group. If \(S\subseteq G\) is a \(G\)-invariant subset of \(G\), the factor-group \(G/C_G(S)\) is called the cocentralizer of \(S\) in \(G\). In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801 |
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2025-07-17T10:31:36Z |
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2025-07-17T10:31:36Z |
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