Ǝ-free groups as groups with the length function
It is shown that there exists a length function with values in a finitely generated group Λ relative to which G is a Λ-free group in any finitely generated group G.
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8014 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512862121754624 |
|---|---|
| author | Remeslennikov , V. N. Ремесленников , В. Н. |
| author_facet | Remeslennikov , V. N. Ремесленников , В. Н. |
| author_sort | Remeslennikov , V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-27T10:18:11Z |
| description | It is shown that there exists a length function with values in a finitely generated group Λ relative to which G is a Λ-free group in any finitely generated group G. |
| first_indexed | 2026-03-24T03:35:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8014 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:31Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/32/17e3fa008c63561f41b903f1ec72a532.pdf |
| spelling | umjimathkievua-article-80142023-12-27T10:18:11Z Ǝ-free groups as groups with the length function Ǝ-свободные группы как группы с функцией длины Remeslennikov , V. N. Ремесленников , В. Н. It is shown that there exists a length function with values in a finitely generated group Λ relative to which G is a Λ-free group in any finitely generated group G. Доказано, что на любой конечнопорожденной группе G существует функция длины со значениями в конечнопорожденной группе Ʌ, относительно которой G является Ʌ-свободной группой. Доведено, що на кожній скінченнопородженій групі G існує функція довжини зі значеннями у скінченнопородженій групі Ʌ, відносно якої G є Ʌ-вільна група. Institute of Mathematics, NAS of Ukraine 1992-07-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8014 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 6 (1992); 813-818 Український математичний журнал; Том 44 № 6 (1992); 813-818 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8014/9580 Copyright (c) 1992 V. N. Remeslennikov |
| spellingShingle | Remeslennikov , V. N. Ремесленников , В. Н. Ǝ-free groups as groups with the length function |
| title | Ǝ-free groups as groups with the length function |
| title_alt | Ǝ-свободные группы как группы с функцией длины |
| title_full | Ǝ-free groups as groups with the length function |
| title_fullStr | Ǝ-free groups as groups with the length function |
| title_full_unstemmed | Ǝ-free groups as groups with the length function |
| title_short | Ǝ-free groups as groups with the length function |
| title_sort | ǝ-free groups as groups with the length function |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8014 |
| work_keys_str_mv | AT remeslennikovvn ǝfreegroupsasgroupswiththelengthfunction AT remeslennikovvn ǝfreegroupsasgroupswiththelengthfunction AT remeslennikovvn ǝsvobodnyegruppykakgruppysfunkciejdliny AT remeslennikovvn ǝsvobodnyegruppykakgruppysfunkciejdliny |