Large subgroups of almost nilpotent groups
The main result is theorem which states that any major subgroup M of nilpotent-by-finite group G contains derived subgroups of all normal nilpotent subgroups of finite index in G and that G/MG is a Chernikov group.
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| Date: | 1992 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8024 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512869527846912 |
|---|---|
| author | Tomkinson , М. J. |
| author_facet | Tomkinson , М. J. |
| author_sort | Tomkinson , М. J. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-27T10:18:11Z |
| description | The main result is theorem which states that any major subgroup M of nilpotent-by-finite group G contains derived subgroups of all normal nilpotent subgroups of finite index in G and that G/MG is a Chernikov group. |
| first_indexed | 2026-03-24T03:35:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8024 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:35:38Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7c/b7ad63427a58e08960ef9b28f46b937c.pdf |
| spelling | umjimathkievua-article-80242023-12-27T10:18:11Z Large subgroups of almost nilpotent groups Великі підгрупи майже нільпотентних груп Tomkinson , М. J. - The main result is theorem which states that any major subgroup M of nilpotent-by-finite group G contains derived subgroups of all normal nilpotent subgroups of finite index in G and that G/MG is a Chernikov group. Основний результат — теорема, яка стверджує, що довільна велика підгрупа М майже нільпотентної групи G містить комутанти всіх її нормальних нільпотентних підгруп скінченного індексу і G/MG — черніковська група. Institute of Mathematics, NAS of Ukraine 1992-07-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8024 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 6 (1992); 853-856 Український математичний журнал; Том 44 № 6 (1992); 853-856 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8024/9590 Copyright (c) 1992 М. J. Tomkinson |
| spellingShingle | Tomkinson , М. J. Large subgroups of almost nilpotent groups |
| title | Large subgroups of almost nilpotent groups |
| title_alt | Великі підгрупи майже нільпотентних груп |
| title_full | Large subgroups of almost nilpotent groups |
| title_fullStr | Large subgroups of almost nilpotent groups |
| title_full_unstemmed | Large subgroups of almost nilpotent groups |
| title_short | Large subgroups of almost nilpotent groups |
| title_sort | large subgroups of almost nilpotent groups |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8024 |
| work_keys_str_mv | AT tomkinsonmj largesubgroupsofalmostnilpotentgroups AT tomkinsonmj velikípídgrupimajženílʹpotentnihgrup |