$T_0$-group and its place in the theory of groups
A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated.
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| Дата: | 1999 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4643 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510793969172480 |
|---|---|
| author | Shunkov, V. P. Шунков, В. П. Шунков, В. П. |
| author_facet | Shunkov, V. P. Шунков, В. П. Шунков, В. П. |
| author_sort | Shunkov, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:18Z |
| description | A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated. |
| first_indexed | 2026-03-24T03:02:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4643 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:02:39Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/43/da0b07de2e81163a3939027236821043.pdf |
| spelling | umjimathkievua-article-46432020-03-18T21:10:18Z $T_0$-group and its place in the theory of groups $T_0$- группа и ее место в теории групп Shunkov, V. P. Шунков, В. П. Шунков, В. П. A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated. Охарактеризовано клас $T_0$ -груп, тісно пов'язаний із вільними бернсайдівськими групами непарного періоду не менш ніж 665. Наведено приклади, що грунтуються на відомих конструкціях C. І. Адяна та О. Ю. Ольшанського. Крім цього, вказало місце скінченної групи у класі всіх груп. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4643 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 572-576 Український математичний журнал; Том 51 № 4 (1999); 572-576 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/4643/5989 Copyright (c) 1999 Shunkov V. P. |
| spellingShingle | Shunkov, V. P. Шунков, В. П. Шунков, В. П. $T_0$-group and its place in the theory of groups |
| title | $T_0$-group and its place in the theory of groups |
| title_alt | $T_0$- группа и ее место в теории групп |
| title_full | $T_0$-group and its place in the theory of groups |
| title_fullStr | $T_0$-group and its place in the theory of groups |
| title_full_unstemmed | $T_0$-group and its place in the theory of groups |
| title_short | $T_0$-group and its place in the theory of groups |
| title_sort | $t_0$-group and its place in the theory of groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4643 |
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