A Note on FC-Groups
Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R \(\subseteq\) N \(\subseteq\) L.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | 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/3907 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510039017521152 |
|---|---|
| author | Chernikov, N. S. Черніков, Н. С. |
| author_facet | Chernikov, N. S. Черніков, Н. С. |
| author_sort | Chernikov, N. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:14:50Z |
| description | Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R \(\subseteq\) N \(\subseteq\) L. |
| first_indexed | 2026-03-24T02:50:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3907 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:50:39Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cc/f1a37488a6974ce4fe9857f3dd1389cc.pdf |
| spelling | umjimathkievua-article-39072020-03-18T20:14:50Z A Note on FC-Groups Зауваження щодо FC-груп Chernikov, N. S. Черніков, Н. С. Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R \(\subseteq\) N \(\subseteq\) L. Нехай $G$ — довільна $FG$-група, $R$ — її локально розв'язний радикал і $L/R = L(G/R)$. Доведено, що для $N ⊲ G, G/N$ фінітно апроксимовна у випадку, коли $R ⊆ N ⊆ L$. Institute of Mathematics, NAS of Ukraine 2003-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3907 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 2 (2003); 288-289 Український математичний журнал; Том 55 № 2 (2003); 288-289 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3907/4529 https://umj.imath.kiev.ua/index.php/umj/article/view/3907/4530 Copyright (c) 2003 Chernikov N. S. |
| spellingShingle | Chernikov, N. S. Черніков, Н. С. A Note on FC-Groups |
| title | A Note on FC-Groups |
| title_alt | Зауваження щодо FC-груп |
| title_full | A Note on FC-Groups |
| title_fullStr | A Note on FC-Groups |
| title_full_unstemmed | A Note on FC-Groups |
| title_short | A Note on FC-Groups |
| title_sort | note on fc-groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3907 |
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