Structure of certain classes of groups with locally cyclic Abelian subgroups
We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic.
Gespeichert in:
| Datum: | 1999 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4766 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510936294490112 |
|---|---|
| author | Kuzennyi, N. F. Maznichenko, S. V. Кузенний, М. Ф. Мазніченко, С. В. |
| author_facet | Kuzennyi, N. F. Maznichenko, S. V. Кузенний, М. Ф. Мазніченко, С. В. |
| author_sort | Kuzennyi, N. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:13:33Z |
| description | We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic. |
| first_indexed | 2026-03-24T03:04:55Z |
| format | Article |
| fulltext |
0030
0031
0032
0033
0034
0035
0036
0037
0038
0039
0040
0041
0042
0043
|
| id | umjimathkievua-article-4766 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:04:55Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a5/9e6d7dc111129ba1af7ccc6020807ca5.pdf |
| spelling | umjimathkievua-article-47662020-03-18T21:13:33Z Structure of certain classes of groups with locally cyclic Abelian subgroups Будова деяких класів г руп з локально циклічними абелевими підгрупами Kuzennyi, N. F. Maznichenko, S. V. Кузенний, М. Ф. Мазніченко, С. В. We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic. Досліджуються групи з локально циклічними абелевими підгрупами. Конструктивно описано локально розв'язні групи такого роду, що мають неодиничну періодичну частину, а також локально розв'язні групи, у яких всі абелеві підгрупи циклічні. Institute of Mathematics, NAS of Ukraine 1999-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4766 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 12 (1999); 1614–1627 Український математичний журнал; Том 51 № 12 (1999); 1614–1627 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4766/6233 https://umj.imath.kiev.ua/index.php/umj/article/view/4766/6234 Copyright (c) 1999 Kuzennyi N. F.; Maznichenko S. V. |
| spellingShingle | Kuzennyi, N. F. Maznichenko, S. V. Кузенний, М. Ф. Мазніченко, С. В. Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title | Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title_alt | Будова деяких класів г руп з локально циклічними
абелевими підгрупами |
| title_full | Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title_fullStr | Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title_full_unstemmed | Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title_short | Structure of certain classes of groups with locally cyclic Abelian subgroups |
| title_sort | structure of certain classes of groups with locally cyclic abelian subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4766 |
| work_keys_str_mv | AT kuzennyinf structureofcertainclassesofgroupswithlocallycyclicabeliansubgroups AT maznichenkosv structureofcertainclassesofgroupswithlocallycyclicabeliansubgroups AT kuzennijmf structureofcertainclassesofgroupswithlocallycyclicabeliansubgroups AT mazníčenkosv structureofcertainclassesofgroupswithlocallycyclicabeliansubgroups AT kuzennyinf budovadeâkihklasívgrupzlokalʹnociklíčnimiabelevimipídgrupami AT maznichenkosv budovadeâkihklasívgrupzlokalʹnociklíčnimiabelevimipídgrupami AT kuzennijmf budovadeâkihklasívgrupzlokalʹnociklíčnimiabelevimipídgrupami AT mazníčenkosv budovadeâkihklasívgrupzlokalʹnociklíčnimiabelevimipídgrupami |