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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| Date: | 2018 |
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| Main Authors: | , |
| 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/801 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543360598147072 |
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| author | Otal, Javier Semko, Nikolaj N. |
| author_facet | Otal, Javier Semko, Nikolaj N. |
| author_sort | Otal, Javier |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:49:22Z |
| 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. |
| first_indexed | 2026-02-08T07:58:05Z |
| format | Article |
| id | admjournalluguniveduua-article-801 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:05Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | Groups with small cocentralizers |
| title_full | Groups with small cocentralizers |
| title_fullStr | Groups with small cocentralizers |
| title_full_unstemmed | Groups with small cocentralizers |
| title_short | Groups with small cocentralizers |
| title_sort | groups with small cocentralizers |
| topic | Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24 20F17 |
| topic_facet | Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups 20F24 20F17 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801 |
| work_keys_str_mv | AT otaljavier groupswithsmallcocentralizers AT semkonikolajn groupswithsmallcocentralizers |