Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
We establish the validity of the inclusion G/N∈ X for groups G ∈ X under certain restrictions on N ⊴ G, where X is one of the following classes, the class of locally graded groups, the class of RI-groups, or the class \(\hat P\mathfrak{Y}\) for a fixed group variety \(\mathfrak{Y} \supseteq \m...
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| Date: | 1998 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4807 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510983257063424 |
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| author | Trebenko, D. Ya. Chernikov, N. S. Требенко, Д. Я. Черников, Н. С. Требенко, Д. Я. Черников, Н. С. |
| author_facet | Trebenko, D. Ya. Chernikov, N. S. Требенко, Д. Я. Черников, Н. С. Требенко, Д. Я. Черников, Н. С. |
| author_sort | Trebenko, D. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:14:51Z |
| description | We establish the validity of the inclusion G/N∈ X for groups G ∈ X under certain restrictions on N ⊴ G, where X is one of the following classes, the class of locally graded groups, the class of RI-groups, or the class \(\hat P\mathfrak{Y}\) for a fixed group variety \(\mathfrak{Y} \supseteq \mathfrak{A}\) . |
| first_indexed | 2026-03-24T03:05:40Z |
| format | Article |
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| id | umjimathkievua-article-4807 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:40Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8e/ba2f97109f34e72052ee7dd32e0db68e.pdf |
| spelling | umjimathkievua-article-48072020-03-18T21:14:51Z Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes Фактор-группы локально ступенчатых групп и групп некоторых классов Куроша - Черникова Trebenko, D. Ya. Chernikov, N. S. Требенко, Д. Я. Черников, Н. С. Требенко, Д. Я. Черников, Н. С. We establish the validity of the inclusion G/N∈ X for groups G ∈ X under certain restrictions on N ⊴ G, where X is one of the following classes, the class of locally graded groups, the class of RI-groups, or the class \(\hat P\mathfrak{Y}\) for a fixed group variety \(\mathfrak{Y} \supseteq \mathfrak{A}\) . Встановлено ряд результатів, що стверджують істинність включення $G/N∈ X$ для груп $G ∈ X$ при певних обмеженнях на $N ⊴ G$, де $X$ — один з наступних класів: локально ступінчатих груп; RI-груп; $\hat P\mathfrak{Y}$ для фіксованого многовиду $\mathfrak{Y} \supseteq \mathfrak{A}$ груп. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4807 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1545–1553 Український математичний журнал; Том 50 № 11 (1998); 1545–1553 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4807/6313 https://umj.imath.kiev.ua/index.php/umj/article/view/4807/6314 Copyright (c) 1998 Trebenko D. Ya.; Chernikov N. S. |
| spellingShingle | Trebenko, D. Ya. Chernikov, N. S. Требенко, Д. Я. Черников, Н. С. Требенко, Д. Я. Черников, Н. С. Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title | Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title_alt | Фактор-группы локально ступенчатых групп и групп
некоторых классов Куроша - Черникова |
| title_full | Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title_fullStr | Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title_full_unstemmed | Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title_short | Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes |
| title_sort | quotient groups of locally graded groups and groups of certain kurosh-chernikov classes |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4807 |
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