Structure of locally graded CDN[)-groups
We introduce the notion of CDN[)-groups:G is a CDN[)-group if, for any pair of its subgroupsA andB such thatA is a proper nonmaximum subgroup, ofB, there exists a normal subgroupN which belongs toG and satisfies the inequalitiesA≤N
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4621 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510772201783296 |
|---|---|
| author | Semko, N. N. Семко, М. М. |
| author_facet | Semko, N. N. Семко, М. М. |
| author_sort | Semko, N. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:58Z |
| description | We introduce the notion of CDN[)-groups:G is a CDN[)-group if, for any pair of its subgroupsA andB such thatA is a proper nonmaximum subgroup, ofB, there exists a normal subgroupN which belongs toG and satisfies the inequalitiesA≤N |
| first_indexed | 2026-03-24T03:02:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4621 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:02:18Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5b/cbc957fceb49f50c844ecac1aced2e5b.pdf |
| spelling | umjimathkievua-article-46212020-03-18T21:09:58Z Structure of locally graded CDN[)-groups Будова локально ступінчастих УЩН [ )-груп Semko, N. N. Семко, М. М. We introduce the notion of CDN[)-groups:G is a CDN[)-group if, for any pair of its subgroupsA andB such thatA is a proper nonmaximum subgroup, ofB, there exists a normal subgroupN which belongs toG and satisfies the inequalitiesA≤N Вводиться поняття УЩН[ )-групи — такої групи $G$, у якій для будь-якої пари підгруп $A$ та. В таких, що $A$—власна немаксимальиа підгрупа з $B$, існує нормальна підгрупа $N$ із $G$ і $A ≤ N < B$. Одержано 15 типів нільпотеитиих недедекіндових та 9 типів ненільпотентних локально ступінчастих груп такого роду. Institute of Mathematics, NAS of Ukraine 1999-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4621 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 3 (1999); 383–388 Український математичний журнал; Том 51 № 3 (1999); 383–388 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4621/5945 https://umj.imath.kiev.ua/index.php/umj/article/view/4621/5946 Copyright (c) 1999 Semko N. N. |
| spellingShingle | Semko, N. N. Семко, М. М. Structure of locally graded CDN[)-groups |
| title | Structure of locally graded CDN[)-groups |
| title_alt | Будова локально ступінчастих УЩН [ )-груп |
| title_full | Structure of locally graded CDN[)-groups |
| title_fullStr | Structure of locally graded CDN[)-groups |
| title_full_unstemmed | Structure of locally graded CDN[)-groups |
| title_short | Structure of locally graded CDN[)-groups |
| title_sort | structure of locally graded cdn[)-groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4621 |
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