Groups whose non-normal subgroups have small commutator subgroup
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Groups whose non-normal subgroups have small commutator subgroup
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| Creator |
De Falco, M.
de Giovanni, F. Musella, C. |
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| 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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| Date |
2019-06-10T14:56:05Z
2019-06-10T14:56:05Z 2007 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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