Groups with many self-normalizing subgroups
This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup is self-normalizing are described.
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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/796 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-796 |
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admjournalluguniveduua-article-7962018-04-04T08:49:22Z Groups with many self-normalizing subgroups De Falco, M. de Giovanni, F. Musella, C. self-normalizing subgroup, minimal non-abelian group 20F19 This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup is self-normalizing are described. 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/796 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/796/326 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-04-04T08:49:22Z |
| collection |
OJS |
| language |
English |
| topic |
self-normalizing subgroup minimal non-abelian group 20F19 |
| spellingShingle |
self-normalizing subgroup minimal non-abelian group 20F19 De Falco, M. de Giovanni, F. Musella, C. Groups with many self-normalizing subgroups |
| topic_facet |
self-normalizing subgroup minimal non-abelian group 20F19 |
| format |
Article |
| author |
De Falco, M. de Giovanni, F. Musella, C. |
| author_facet |
De Falco, M. de Giovanni, F. Musella, C. |
| author_sort |
De Falco, M. |
| title |
Groups with many self-normalizing subgroups |
| title_short |
Groups with many self-normalizing subgroups |
| title_full |
Groups with many self-normalizing subgroups |
| title_fullStr |
Groups with many self-normalizing subgroups |
| title_full_unstemmed |
Groups with many self-normalizing subgroups |
| title_sort |
groups with many self-normalizing subgroups |
| description |
This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup is self-normalizing are described. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/796 |
| work_keys_str_mv |
AT defalcom groupswithmanyselfnormalizingsubgroups AT degiovannif groupswithmanyselfnormalizingsubgroups AT musellac groupswithmanyselfnormalizingsubgroups |
| first_indexed |
2025-12-02T15:37:05Z |
| last_indexed |
2025-12-02T15:37:05Z |
| _version_ |
1850411398583025664 |