Groups with Few Nonmodular Subgroups
Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3854 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509986450309120 |
|---|---|
| author | De, Mari F. Де, Марі Ф. |
| author_facet | De, Mari F. Де, Марі Ф. |
| author_sort | De, Mari F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:12:30Z |
| description | Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. |
| first_indexed | 2026-03-24T02:49:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3854 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:49:49Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a5/11e6b3c104f8bfc4ac35a2c6eb7b25a5.pdf |
| spelling | umjimathkievua-article-38542020-03-18T20:12:30Z Groups with Few Nonmodular Subgroups Групи з небагатьма немодулярними підгрупами De, Mari F. Де, Марі Ф. Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. Нехай G — група, що не має секцій, ізоморфних групам Тарського, всі немодулярпі підгрупи якої породжують в G деяку власну підгрупу. Доведепо, що G містить скінченну нормальну підгрупу N, фактор-група G/N якої є групою з медулярною решіткою підгруп. Institute of Mathematics, NAS of Ukraine 2004-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3854 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 10 (2004); 1419-1423 Український математичний журнал; Том 56 № 10 (2004); 1419-1423 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3854/4427 https://umj.imath.kiev.ua/index.php/umj/article/view/3854/4428 Copyright (c) 2004 De Mari F. |
| spellingShingle | De, Mari F. Де, Марі Ф. Groups with Few Nonmodular Subgroups |
| title | Groups with Few Nonmodular Subgroups |
| title_alt | Групи з небагатьма немодулярними підгрупами |
| title_full | Groups with Few Nonmodular Subgroups |
| title_fullStr | Groups with Few Nonmodular Subgroups |
| title_full_unstemmed | Groups with Few Nonmodular Subgroups |
| title_short | Groups with Few Nonmodular Subgroups |
| title_sort | groups with few nonmodular subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3854 |
| work_keys_str_mv | AT demarif groupswithfewnonmodularsubgroups AT demaríf groupswithfewnonmodularsubgroups AT demarif grupiznebagatʹmanemodulârnimipídgrupami AT demaríf grupiznebagatʹmanemodulârnimipídgrupami |