On the structure of some groups having finite contranormal subgroups
Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188680 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862597263409283072 |
|---|---|
| author | Kurdachenko, L.A. Semko, N.N. |
| author_facet | Kurdachenko, L.A. Semko, N.N. |
| citation_txt | On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.
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| first_indexed | 2025-11-27T17:24:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188680 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T17:24:54Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kurdachenko, L.A. Semko, N.N. 2023-03-11T13:26:09Z 2023-03-11T13:26:09Z 2021 On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. 1726-3255 DOI:10.12958/adm1724 2020 MSC: 20E99, 20F18, 20F19. https://nasplib.isofts.kiev.ua/handle/123456789/188680 Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup. Dedicated to the 60th anniversary of the Department of Algebra and Mathematical Logic of Taras Shevchenko National University of Kyiv
 The first author is supported by the National Research Foundation of Ukraine (grant no. 2020.02/0066). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the structure of some groups having finite contranormal subgroups Article published earlier |
| spellingShingle | On the structure of some groups having finite contranormal subgroups Kurdachenko, L.A. Semko, N.N. |
| title | On the structure of some groups having finite contranormal subgroups |
| title_full | On the structure of some groups having finite contranormal subgroups |
| title_fullStr | On the structure of some groups having finite contranormal subgroups |
| title_full_unstemmed | On the structure of some groups having finite contranormal subgroups |
| title_short | On the structure of some groups having finite contranormal subgroups |
| title_sort | on the structure of some groups having finite contranormal subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188680 |
| work_keys_str_mv | AT kurdachenkola onthestructureofsomegroupshavingfinitecontranormalsubgroups AT semkonn onthestructureofsomegroupshavingfinitecontranormalsubgroups |