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.
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2012 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152231 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619088384163840 |
|---|---|
| author | Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| author_facet | Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| 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. |
| 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. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
|
| first_indexed | 2025-12-07T13:16:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152231 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:16:30Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Groups with many pronormal and transitively normal subgroups Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| 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/123456789/152231 |
| work_keys_str_mv | AT kurdachenkola groupswithmanypronormalandtransitivelynormalsubgroups AT semkojrnn groupswithmanypronormalandtransitivelynormalsubgroups AT subbotiniya groupswithmanypronormalandtransitivelynormalsubgroups |