On New Types of ω-Fibered Fitting Classes of Finite Groups
We construct an infinite set of new types of ω-fibered Fitting classes of finite groups that differ from ω-local classes. We also describe the structure of maximal inner ω-satellites for the main types and establish a relationship between ω-fibered and Ω-foliated Fitting classes.
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| Datum: | 2002 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4126 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510261542125568 |
|---|---|
| author | Vedernikov, V. A. Ведерников, В. А. Ведерников, В. А. |
| author_facet | Vedernikov, V. A. Ведерников, В. А. Ведерников, В. А. |
| author_sort | Vedernikov, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:13Z |
| description | We construct an infinite set of new types of ω-fibered Fitting classes of finite groups that differ from ω-local classes. We also describe the structure of maximal inner ω-satellites for the main types and establish a relationship between ω-fibered and Ω-foliated Fitting classes. |
| first_indexed | 2026-03-24T02:54:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4126 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:54:11Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/54673e21d6fb292e4e1aa88eaf0ec335.pdf |
| spelling | umjimathkievua-article-41262020-03-18T20:23:13Z On New Types of ω-Fibered Fitting Classes of Finite Groups О новых типах ω-веерных классов Фиттинга конечных групп Vedernikov, V. A. Ведерников, В. А. Ведерников, В. А. We construct an infinite set of new types of ω-fibered Fitting classes of finite groups that differ from ω-local classes. We also describe the structure of maximal inner ω-satellites for the main types and establish a relationship between ω-fibered and Ω-foliated Fitting classes. Побудовано нескінченну множину нових типів ω-віялових класів Фіттінга скінченних груп, відмінних під ω-локальних, отримано будову максимальних внутрішніх ω-супутників для основних із цих типів, встановлено зв'язок між ω-віяловими і Ω-розшарованими класами Фіттінга. Institute of Mathematics, NAS of Ukraine 2002-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4126 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 7 (2002); 897-906 Український математичний журнал; Том 54 № 7 (2002); 897-906 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4126/4961 https://umj.imath.kiev.ua/index.php/umj/article/view/4126/4962 Copyright (c) 2002 Vedernikov V. A. |
| spellingShingle | Vedernikov, V. A. Ведерников, В. А. Ведерников, В. А. On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title | On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title_alt | О новых типах ω-веерных классов Фиттинга конечных групп |
| title_full | On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title_fullStr | On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title_full_unstemmed | On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title_short | On New Types of ω-Fibered Fitting Classes of Finite Groups |
| title_sort | on new types of ω-fibered fitting classes of finite groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4126 |
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