Groups with Hypercyclic Proper Quotient Groups
We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions. We investigate groups all proper quotient groups of which possess supersol...
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3920 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510053073682432 |
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| author | Kurdachenko, L. A. Soules, P. Курдаченко, Л. А. Соулес, П. Курдаченко, Л. А. Соулес, П. |
| author_facet | Kurdachenko, L. A. Soules, P. Курдаченко, Л. А. Соулес, П. Курдаченко, Л. А. Соулес, П. |
| author_sort | Kurdachenko, L. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:31Z |
| description | We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions. We investigate groups all proper quotient groups of which possess supersolvable classes of conjugate elements. |
| first_indexed | 2026-03-24T02:50:52Z |
| format | Article |
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| id | umjimathkievua-article-3920 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:52Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/05/8d22094d05ff5fa5b7992adc887c3805.pdf |
| spelling | umjimathkievua-article-39202020-03-18T20:15:31Z Groups with Hypercyclic Proper Quotient Groups Группы с гиперциклическими собственными фактор-группами Kurdachenko, L. A. Soules, P. Курдаченко, Л. А. Соулес, П. Курдаченко, Л. А. Соулес, П. We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions. We investigate groups all proper quotient groups of which possess supersolvable classes of conjugate elements. Продовжується вивчення (розв'язних) груп, всі власні фактор-групи яких є гіперциклічними. Монолітичний випадок вивчено повністю. Але пемоіюлітичний випадок потребує накладання деяких додаткових умов. Вивчаються групи, всі власні фактор-групи яких мають надрозв'язні класи спряжених елементів. Institute of Mathematics, NAS of Ukraine 2003-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3920 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 4 (2003); 470-478 Український математичний журнал; Том 55 № 4 (2003); 470-478 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3920/4554 https://umj.imath.kiev.ua/index.php/umj/article/view/3920/4555 Copyright (c) 2003 Kurdachenko L. A.; Soules P. |
| spellingShingle | Kurdachenko, L. A. Soules, P. Курдаченко, Л. А. Соулес, П. Курдаченко, Л. А. Соулес, П. Groups with Hypercyclic Proper Quotient Groups |
| title | Groups with Hypercyclic Proper Quotient Groups |
| title_alt | Группы с гиперциклическими собственными фактор-группами |
| title_full | Groups with Hypercyclic Proper Quotient Groups |
| title_fullStr | Groups with Hypercyclic Proper Quotient Groups |
| title_full_unstemmed | Groups with Hypercyclic Proper Quotient Groups |
| title_short | Groups with Hypercyclic Proper Quotient Groups |
| title_sort | groups with hypercyclic proper quotient groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3920 |
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