Sets of singular points of actions of finite groups by $(S^n)^k$
Realizations of integral $D_3$-modules of rank 2 on $(S^n)^k$  for the dihedral groups $D_3$ are studied. Cohomologies of the sets of the singular points of the actions of the semidirect products $\mathbb Z / p \rightthreetimes \mathbb Z / q$ and the quaternion groups $Q$  ...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8175 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512955384201216 |
|---|---|
| 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 | 2024-02-26T13:58:10Z |
| description | Realizations of integral $D_3$-modules of rank 2 on $(S^n)^k$  for the dihedral groups $D_3$ are studied. Cohomologies of the sets of the singular points of the actions of the semidirect products $\mathbb Z / p \rightthreetimes \mathbb Z / q$ and the quaternion groups $Q$  on $(S^n)^k$  are investigated. |
| first_indexed | 2026-03-24T03:37:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8175 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:37:00Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/11/cf8dedcf0904599b0ac9d57daf64d411.pdf |
| spelling | umjimathkievua-article-81752024-02-26T13:58:10Z Sets of singular points of actions of finite groups by $(S^n)^k$ Про множини сингулярних точок дій скінченних груп на $(S^n)^k$ Plakhta , L. P. Плахта , Л. П. - Realizations of integral $D_3$-modules of rank 2 on $(S^n)^k$  for the dihedral groups $D_3$ are studied. Cohomologies of the sets of the singular points of the actions of the semidirect products $\mathbb Z / p \rightthreetimes \mathbb Z / q$ and the quaternion groups $Q$  on $(S^n)^k$  are investigated. Изучены реализации целочисленных $D_3$-модулей ранга 2 на $(S^n)^k$  для диэдральных групп $D_3$. Исследованы когомологии множеств сингулярных точек действий полупрямых произведений $\mathbb Z / p \rightthreetimes \mathbb Z / q$  и кватернионных групп $Q$  на $(S^n)^k$, Вивчені реалізації цілочислових $D_3$-модулів рангу 2 на $(S^n)^k$ для діедральних груп $D_3$. Досліджені когомології множин сингулярних точок дій напівпрямих добутків $\mathbb Z / p \rightthreetimes \mathbb Z / q$ та кватерн іонних груп $Q$ на $(S^n)^k$. Institute of Mathematics, NAS of Ukraine 1992-10-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8175 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 9 (1992); 1233-1238 Український математичний журнал; Том 44 № 9 (1992); 1233-1238 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8175/9698 Copyright (c) 1992 L. P. Plakhta |
| spellingShingle | Plakhta , L. P. Плахта , Л. П. Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title | Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title_alt | Про множини сингулярних точок дій скінченних груп на $(S^n)^k$ |
| title_full | Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title_fullStr | Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title_full_unstemmed | Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title_short | Sets of singular points of actions of finite groups by $(S^n)^k$ |
| title_sort | sets of singular points of actions of finite groups by $(s^n)^k$ |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8175 |
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