Groups with small cocentralizers
Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenk...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154633 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712360209219584 |
|---|---|
| author | Javier Otal Semko, N.N. |
| author_facet | Javier Otal Semko, N.N. |
| citation_txt | Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world.
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| first_indexed | 2025-12-07T17:36:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154633 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:36:54Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Javier Otal Semko, N.N. 2019-06-15T17:02:51Z 2019-06-15T17:02:51Z 2009 Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20F24, 20F17. https://nasplib.isofts.kiev.ua/handle/123456789/154633 Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenko was an active contributor, as well as many mathematicians all around the world. Supported by Proyecto MTM2007-60994 of DGI del MEC (Spain). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups with small cocentralizers Article published earlier |
| spellingShingle | Groups with small cocentralizers Javier Otal Semko, N.N. |
| title | Groups with small cocentralizers |
| title_full | Groups with small cocentralizers |
| title_fullStr | Groups with small cocentralizers |
| title_full_unstemmed | Groups with small cocentralizers |
| title_short | Groups with small cocentralizers |
| title_sort | groups with small cocentralizers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154633 |
| work_keys_str_mv | AT javierotal groupswithsmallcocentralizers AT semkonn groupswithsmallcocentralizers |