Groups with many pronormal and transitively normal subgroups
A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. The study of radical groups, whose not finitely generated subgroups are transitively normal, has been started by L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subb...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152295 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Groups with many pronormal and transitively normal subgroups / N.N. Semko (Jr.) // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 269–286. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680935793688576 |
|---|---|
| author | Semko (Jr.), N.N. |
| author_facet | Semko (Jr.), N.N. |
| citation_txt | Groups with many pronormal and transitively normal subgroups / N.N. Semko (Jr.) // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 269–286. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. The study of radical groups, whose not finitely generated subgroups are transitively normal, has been started by L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin. In this paper the study of such groups is continued.
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| first_indexed | 2025-12-07T15:48:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152295 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:48:59Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Semko (Jr.), N.N. 2019-06-09T15:35:00Z 2019-06-09T15:35:00Z 2013 Groups with many pronormal and transitively normal subgroups / N.N. Semko (Jr.) // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 269–286. — Бібліогр.: 26 назв. — англ. 1726-3255 2010 MSC:20E15, 2019. https://nasplib.isofts.kiev.ua/handle/123456789/152295 A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. The study of radical groups, whose not finitely generated subgroups are transitively normal, has been started by L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin. In this paper the study of such groups is continued. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups with many pronormal and transitively normal subgroups Article published earlier |
| spellingShingle | Groups with many pronormal and transitively normal subgroups Semko (Jr.), N.N. |
| title | Groups with many pronormal and transitively normal subgroups |
| title_full | Groups with many pronormal and transitively normal subgroups |
| title_fullStr | Groups with many pronormal and transitively normal subgroups |
| title_full_unstemmed | Groups with many pronormal and transitively normal subgroups |
| title_short | Groups with many pronormal and transitively normal subgroups |
| title_sort | groups with many pronormal and transitively normal subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152295 |
| work_keys_str_mv | AT semkojrnn groupswithmanypronormalandtransitivelynormalsubgroups |