Locally nilpotent groups of finite non-Abelian sectional rank
We introduce the notion of non-Abelian sectional rank of a group and study locally nilpotent non-Abelian groups of finite non-Abelian sectional rank. It is proved that the (special) rank of these groups is finite.
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5441 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511670996041728 |
|---|---|
| author | Dashkova, O. Yu. Дашкова, О. Ю. Дашкова, О. Ю. |
| author_facet | Dashkova, O. Yu. Дашкова, О. Ю. Дашкова, О. Ю. |
| author_sort | Dashkova, O. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | We introduce the notion of non-Abelian sectional rank of a group and study locally nilpotent non-Abelian groups of finite non-Abelian sectional rank. It is proved that the (special) rank of these groups is finite. |
| first_indexed | 2026-03-24T03:16:35Z |
| format | Article |
| fulltext |
0012
0013
0014
0015
|
| id | umjimathkievua-article-5441 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:35Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/9f159b77f59d2f21a4f97c95e0bb3a6c.pdf |
| spelling | umjimathkievua-article-54412020-03-19T08:59:28Z Locally nilpotent groups of finite non-Abelian sectional rank Локально нильпотентные группы конечного неабелева секционного ранга Dashkova, O. Yu. Дашкова, О. Ю. Дашкова, О. Ю. We introduce the notion of non-Abelian sectional rank of a group and study locally nilpotent non-Abelian groups of finite non-Abelian sectional rank. It is proved that the (special) rank of these groups is finite. Введено поняття неабелевого секційного рангу групи. Вивчаються неабелеві локально нільпотентні групи скінченного неабелевого секційного рангу і доводиться, що їх (спеціальний) ранг скінченний. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5441 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 452–455 Український математичний журнал; Том 47 № 4 (1995); 452–455 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5441/7571 https://umj.imath.kiev.ua/index.php/umj/article/view/5441/7572 Copyright (c) 1995 Dashkova O. Yu. |
| spellingShingle | Dashkova, O. Yu. Дашкова, О. Ю. Дашкова, О. Ю. Locally nilpotent groups of finite non-Abelian sectional rank |
| title | Locally nilpotent groups of finite non-Abelian sectional rank |
| title_alt | Локально нильпотентные группы конечного неабелева секционного
ранга |
| title_full | Locally nilpotent groups of finite non-Abelian sectional rank |
| title_fullStr | Locally nilpotent groups of finite non-Abelian sectional rank |
| title_full_unstemmed | Locally nilpotent groups of finite non-Abelian sectional rank |
| title_short | Locally nilpotent groups of finite non-Abelian sectional rank |
| title_sort | locally nilpotent groups of finite non-abelian sectional rank |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5441 |
| work_keys_str_mv | AT dashkovaoyu locallynilpotentgroupsoffinitenonabeliansectionalrank AT daškovaoû locallynilpotentgroupsoffinitenonabeliansectionalrank AT daškovaoû locallynilpotentgroupsoffinitenonabeliansectionalrank AT dashkovaoyu lokalʹnonilʹpotentnyegruppykonečnogoneabelevasekcionnogoranga AT daškovaoû lokalʹnonilʹpotentnyegruppykonečnogoneabelevasekcionnogoranga AT daškovaoû lokalʹnonilʹpotentnyegruppykonečnogoneabelevasekcionnogoranga |