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. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152231 |
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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 / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152231 |
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Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. 2019-06-09T05:53:19Z 2019-06-09T05:53:19Z 2012 Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. 1726-3255 2010 MSC:20E15, 20F19. https://nasplib.isofts.kiev.ua/handle/123456789/152231 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. We described some infinite groups, whose non–finitely generated subgroups are transitively normal. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups with many pronormal and transitively normal subgroups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Groups with many pronormal and transitively normal subgroups |
| spellingShingle |
Groups with many pronormal and transitively normal subgroups Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| title_short |
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_sort |
groups with many pronormal and transitively normal subgroups |
| author |
Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| author_facet |
Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152231 |
| citation_txt |
Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. |
| work_keys_str_mv |
AT kurdachenkola groupswithmanypronormalandtransitivelynormalsubgroups AT semkojrnn groupswithmanypronormalandtransitivelynormalsubgroups AT subbotiniya groupswithmanypronormalandtransitivelynormalsubgroups |
| first_indexed |
2025-12-07T13:16:30Z |
| last_indexed |
2025-12-07T13:16:30Z |
| _version_ |
1850855538819072000 |