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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152371 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| id |
nasplib_isofts_kiev_ua-123456789-152371 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Groups whose non-normal subgroups have small commutator subgroup |
| spellingShingle |
Groups whose non-normal subgroups have small commutator subgroup De Falco, M. de Giovanni, F. Musella, C. |
| title_short |
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_sort |
groups whose non-normal subgroups have small commutator subgroup |
| author |
De Falco, M. de Giovanni, F. Musella, C. |
| author_facet |
De Falco, M. de Giovanni, F. Musella, C. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152371 |
| 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. |
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| first_indexed |
2025-12-07T15:13:30Z |
| last_indexed |
2025-12-07T15:13:30Z |
| _version_ |
1850862899915915264 |