On ascending and subnormal subgroups of infinite factorized groups
We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection A ∩ B and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the...
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| Datum: | 1997 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5070 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511265483390976 |
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| author | De, Glovanni F. Sysak, Ya. P. Franclosi, S. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. |
| author_facet | De, Glovanni F. Sysak, Ya. P. Franclosi, S. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. |
| author_sort | De, Glovanni F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:02Z |
| description | We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection A ∩ B and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the general case, this statement is not true. |
| first_indexed | 2026-03-24T03:10:09Z |
| format | Article |
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| id | umjimathkievua-article-5070 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:09Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ae/b54300049279355ca7c3cf1df3960fae.pdf |
| spelling | umjimathkievua-article-50702020-03-18T21:24:02Z On ascending and subnormal subgroups of infinite factorized groups О восходящих и субнормальных подгруппах бесконечных факторизуемых групп De, Glovanni F. Sysak, Ya. P. Franclosi, S. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection A ∩ B and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the general case, this statement is not true. Доведено, що в майже гіперабелевій групі G скінченного абелевого секційного рангу, яка є добутком двох підгруп A та B, кожна підгрупа перетину A ∩ B, що є висхідною як в A, так і в B, є висхідною підгрупою і в групі G. Показано також, що в загальному випадку аналогічне твердження не вірне. Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5070 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 842–848 Український математичний журнал; Том 49 № 6 (1997); 842–848 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5070/6837 https://umj.imath.kiev.ua/index.php/umj/article/view/5070/6838 Copyright (c) 1997 De Glovanni F.; Sysak Ya. P.; Franclosi S. |
| spellingShingle | De, Glovanni F. Sysak, Ya. P. Franclosi, S. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. Дэ, Джованни Ф. Сысак, Я. П. Франчиози, С. On ascending and subnormal subgroups of infinite factorized groups |
| title | On ascending and subnormal subgroups of infinite factorized groups |
| title_alt | О восходящих и субнормальных подгруппах бесконечных факторизуемых групп |
| title_full | On ascending and subnormal subgroups of infinite factorized groups |
| title_fullStr | On ascending and subnormal subgroups of infinite factorized groups |
| title_full_unstemmed | On ascending and subnormal subgroups of infinite factorized groups |
| title_short | On ascending and subnormal subgroups of infinite factorized groups |
| title_sort | on ascending and subnormal subgroups of infinite factorized groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5070 |
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