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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| Дата: | 2007 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152371 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152371 |
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dspace |
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irk-123456789-1523712019-06-11T01:25:23Z Groups whose non-normal subgroups have small commutator subgroup De Falco, M. de Giovanni, F. Musella, C. 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. 2007 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152371 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
De Falco, M. de Giovanni, F. Musella, C. |
| spellingShingle |
De Falco, M. de Giovanni, F. Musella, C. Groups whose non-normal subgroups have small commutator subgroup Algebra and Discrete Mathematics |
| author_facet |
De Falco, M. de Giovanni, F. Musella, C. |
| author_sort |
De Falco, M. |
| title |
Groups whose non-normal subgroups have small commutator subgroup |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:38:10Z |
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2023-05-20T17:38:10Z |
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