Restrictions on free actions of the alternating group $A_6$ on products of spheres
We prove that the alternating group $A_6$ cannot freely act on $(S^n)^5$ We give an example of free action of the alternating group $A_4$ on $(S^n)^3$.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5229 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511439045787648 |
|---|---|
| author | Plakhta, L. P. Плахта, Л. П. |
| author_facet | Plakhta, L. P. Плахта, Л. П. |
| author_sort | Plakhta, L. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:31Z |
| description | We prove that the alternating group $A_6$ cannot freely act on $(S^n)^5$ We give an example of free action of the alternating group $A_4$ on $(S^n)^3$. |
| first_indexed | 2026-03-24T03:12:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5229 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:12:54Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a3/795776630cc9e639aa982cb4300998a3.pdf |
| spelling | umjimathkievua-article-52292020-03-18T21:27:31Z Restrictions on free actions of the alternating group $A_6$ on products of spheres Обмеження на вільні дії знакозміниої групи $A_6$ на добутках сфер Plakhta, L. P. Плахта, Л. П. We prove that the alternating group $A_6$ cannot freely act on $(S^n)^5$ We give an example of free action of the alternating group $A_4$ on $(S^n)^3$. Доведено, що зиакозміниа група $A_6$ не може діяти вільно на $(S^n)^5$. Наведено приклад вільної з дії групи $A_4$ на $(S^n)^3$. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5229 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1431-1434 Український математичний журнал; Том 48 № 10 (1996); 1431-1434 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5229/7152 https://umj.imath.kiev.ua/index.php/umj/article/view/5229/7153 Copyright (c) 1996 Plakhta L. P. |
| spellingShingle | Plakhta, L. P. Плахта, Л. П. Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title | Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title_alt | Обмеження на вільні дії знакозміниої групи $A_6$ на добутках сфер |
| title_full | Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title_fullStr | Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title_full_unstemmed | Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title_short | Restrictions on free actions of the alternating group $A_6$ on products of spheres |
| title_sort | restrictions on free actions of the alternating group $a_6$ on products of spheres |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5229 |
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