On some generalization of pronormal subgroups in locally finite group
We proved that if every subgroup of locally finite group is monopronormal, then this group is a $\overline{T}$-group.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2015-08-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/13 |
| _version_ | 1811344604301099008 |
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| author | A.A. Pypka N.A. Turbay |
| author_facet | A.A. Pypka N.A. Turbay |
| author_sort | A.A. Pypka |
| collection | DOAJ |
| description | We proved that if every subgroup of locally finite group is monopronormal, then this group is a $\overline{T}$-group. |
| first_indexed | 2024-04-13T19:50:37Z |
| format | Article |
| id | doaj.art-fcd8af62bb564c8d8c70c5dec5354955 |
| institution | Directory Open Access Journal |
| issn | 2312-9557 2518-7996 |
| language | English |
| last_indexed | 2024-04-13T19:50:37Z |
| publishDate | 2015-08-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
| spelling | doaj.art-fcd8af62bb564c8d8c70c5dec53549552022-12-22T02:32:34ZengOles Honchar Dnipro National UniversityVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika2312-95572518-79962015-08-0123107110On some generalization of pronormal subgroups in locally finite groupA.A. Pypka0N.A. Turbay1Oles Honchar Dnipropetrovsk National UniversityOles Honchar Dnipropetrovsk National UniversityWe proved that if every subgroup of locally finite group is monopronormal, then this group is a $\overline{T}$-group.https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/13locally finite groupmonopronormal subgroupcontranormal subgroupDedekind groupsupersoluble grouplocally nilpotent residual$\overline{T}$-group |
| spellingShingle | A.A. Pypka N.A. Turbay On some generalization of pronormal subgroups in locally finite group Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika locally finite group monopronormal subgroup contranormal subgroup Dedekind group supersoluble group locally nilpotent residual $\overline{T}$-group |
| title | On some generalization of pronormal subgroups in locally finite group |
| title_full | On some generalization of pronormal subgroups in locally finite group |
| title_fullStr | On some generalization of pronormal subgroups in locally finite group |
| title_full_unstemmed | On some generalization of pronormal subgroups in locally finite group |
| title_short | On some generalization of pronormal subgroups in locally finite group |
| title_sort | on some generalization of pronormal subgroups in locally finite group |
| topic | locally finite group monopronormal subgroup contranormal subgroup Dedekind group supersoluble group locally nilpotent residual $\overline{T}$-group |
| url | https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/13 |
| work_keys_str_mv | AT aapypka onsomegeneralizationofpronormalsubgroupsinlocallyfinitegroup AT naturbay onsomegeneralizationofpronormalsubgroupsinlocallyfinitegroup |