On subgroups lifting modulo central commutant
We consider a finitely generated group G with the commutant of odd order \(p_1^{n_1 } \ldots p_s^{n_s } \) located at the center and prove that there exists a decomposition of G/G′ into the direct product of indecomposable cyclic groups such that each factor except at most n l + ... + n s factor...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4914 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511095345643520 |
|---|---|
| author | Sergeychuk, V. V. Сергейчук, В. В. Сергейчук, В. В. |
| author_facet | Sergeychuk, V. V. Сергейчук, В. В. Сергейчук, В. В. |
| author_sort | Sergeychuk, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:53Z |
| description | We consider a finitely generated group G with the commutant of odd order \(p_1^{n_1 } \ldots p_s^{n_s } \) located at the center and prove that there exists a decomposition of G/G′ into the direct product of indecomposable cyclic groups such that each factor except at most n l + ... + n s factors lifts modulo commutant. |
| first_indexed | 2026-03-24T03:07:26Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4914 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:26Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4c/02f010ff9f6b3f322bc6cfde8aa1684c.pdf |
| spelling | umjimathkievua-article-49142020-03-18T21:16:53Z On subgroups lifting modulo central commutant О подгруппах, поднимающихся по модулю центрального коммутанта Sergeychuk, V. V. Сергейчук, В. В. Сергейчук, В. В. We consider a finitely generated group G with the commutant of odd order \(p_1^{n_1 } \ldots p_s^{n_s } \) located at the center and prove that there exists a decomposition of G/G′ into the direct product of indecomposable cyclic groups such that each factor except at most n l + ... + n s factors lifts modulo commutant. Для скінченнопороджуваної групи $G$ з комутантом непарного порядку $p_1^{n_1 } \ldots p_s^{n_s }$, що міститься у центрі, існує розклад $G/G'$ у прямий добуток нерозкладних циклічних груп такий, що майже кожний співмножник, за винятком не більше $n_l + ... + n_s$, підіймається за модулем комутанта. Institute of Mathematics, NAS of Ukraine 1998-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4914 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 5 (1998); 742–745 Український математичний журнал; Том 50 № 5 (1998); 742–745 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4914/6527 https://umj.imath.kiev.ua/index.php/umj/article/view/4914/6528 Copyright (c) 1998 Sergeychuk V. V. |
| spellingShingle | Sergeychuk, V. V. Сергейчук, В. В. Сергейчук, В. В. On subgroups lifting modulo central commutant |
| title | On subgroups lifting modulo central commutant |
| title_alt | О подгруппах, поднимающихся по модулю центрального коммутанта |
| title_full | On subgroups lifting modulo central commutant |
| title_fullStr | On subgroups lifting modulo central commutant |
| title_full_unstemmed | On subgroups lifting modulo central commutant |
| title_short | On subgroups lifting modulo central commutant |
| title_sort | on subgroups lifting modulo central commutant |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4914 |
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