Structure of locally graded CDN (]-groups
We introduce the notion of a CDN(]-group G, namely, a group such that, for any pair of its subgroups A and B such that A is a proper nonmaximal subgroup of B, there exists a normal subgroup N of G and A < N ≤ B. Thirteen types of non-Dedekind nilpotent groups and 9 types of nonnilpotent local...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian 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/4805 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510981052956672 |
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| 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 | 2020-03-18T21:14:51Z |
| description | We introduce the notion of a CDN(]-group G, namely, a group such that, for any pair of its subgroups A and B such that A is a proper nonmaximal subgroup of B, there exists a normal subgroup N of G and A < N ≤ B. Thirteen types of non-Dedekind nilpotent groups and 9 types of nonnilpotent locally graded groups of this kind are described. |
| first_indexed | 2026-03-24T03:05:37Z |
| format | Article |
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| id | umjimathkievua-article-4805 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:05:37Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/31/dd8aa978c6c2d2f0082e59740c164831.pdf |
| spelling | umjimathkievua-article-48052020-03-18T21:14:51Z Structure of locally graded CDN (]-groups Будова локально ступінчастих УЩН ( ]-груп Semko, N. N. Семко, М. М. We introduce the notion of a CDN(]-group G, namely, a group such that, for any pair of its subgroups A and B such that A is a proper nonmaximal subgroup of B, there exists a normal subgroup N of G and A < N ≤ B. Thirteen types of non-Dedekind nilpotent groups and 9 types of nonnilpotent locally graded groups of this kind are described. Внодиться поняті я УЩН ( ] групи—такої групи $G$, у якої для будь-якої гіари підгруп $A$ та $B$ таких, що $A$ —власна немаксимальна підгрупа з $B$, існує нормальна підгрупа $N$ із $G$ і $A < N ≤ B$. Одержано 13 типів недедекіндоних нільпотентних та 9 типів ненільпотентних локально ступінчастих груп такого роду. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4805 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1532–1536 Український математичний журнал; Том 50 № 11 (1998); 1532–1536 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4805/6309 https://umj.imath.kiev.ua/index.php/umj/article/view/4805/6310 Copyright (c) 1998 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/4805 |
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