Groups whose non-normal subgroups have small commutator subgroup
The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, it is proved that if k is a positive integer and G is a locally graded group in which every non-normal subgroup has finite commutator subgroup of order at most k, then the commutator...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2007 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152371 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Groups whose non-normal subgroups have small commutator subgroup / M. De Falco, F. de Giovanni, C. Musella // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 46–58. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664229752930304 |
|---|---|
| author | De Falco, M. de Giovanni, F. Musella, C. |
| author_facet | De Falco, M. de Giovanni, F. Musella, C. |
| citation_txt | Groups whose non-normal subgroups have small commutator subgroup / M. De Falco, F. de Giovanni, C. Musella // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 46–58. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, it is proved that if k is a positive integer and G is a locally graded group in which every non-normal subgroup has finite commutator subgroup of order at most k, then the commutator subgroup of G is finite. Moreover, groups with finitely many normalizers of subgroups with large commutator subgroup are studied.
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| first_indexed | 2025-12-07T15:13:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152371 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:13:30Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | De Falco, M. de Giovanni, F. Musella, C. 2019-06-10T14:56:05Z 2019-06-10T14:56:05Z 2007 Groups whose non-normal subgroups have small commutator subgroup / M. De Falco, F. de Giovanni, C. Musella // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 46–58. — Бібліогр.: 16 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20F24. https://nasplib.isofts.kiev.ua/handle/123456789/152371 The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, it is proved that if k is a positive integer and G is a locally graded group in which every non-normal subgroup has finite commutator subgroup of order at most k, then the commutator subgroup of G is finite. Moreover, groups with finitely many normalizers of subgroups with large commutator subgroup are studied. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups whose non-normal subgroups have small commutator subgroup Article published earlier |
| spellingShingle | Groups whose non-normal subgroups have small commutator subgroup De Falco, M. de Giovanni, F. Musella, C. |
| title | Groups whose non-normal subgroups have small commutator subgroup |
| title_full | Groups whose non-normal subgroups have small commutator subgroup |
| title_fullStr | Groups whose non-normal subgroups have small commutator subgroup |
| title_full_unstemmed | Groups whose non-normal subgroups have small commutator subgroup |
| title_short | Groups whose non-normal subgroups have small commutator subgroup |
| title_sort | groups whose non-normal subgroups have small commutator subgroup |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152371 |
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