The prolongation of central extensions
The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2012-06-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=740&_ob=3aee68490b43ff78d1ad06701ebbd4e0&fileName=full_text.pdf |
| _version_ | 1811269920600621056 |
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| author | Nguyen Tien Quang Pham Thi Cuc Che Thi Kim Phung |
| author_facet | Nguyen Tien Quang Pham Thi Cuc Che Thi Kim Phung |
| author_sort | Nguyen Tien Quang |
| collection | DOAJ |
| description | The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups. |
| first_indexed | 2024-04-12T21:50:38Z |
| format | Article |
| id | doaj.art-434078fa685841acb15de808903904c8 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-04-12T21:50:38Z |
| publishDate | 2012-06-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-434078fa685841acb15de808903904c82022-12-22T03:15:29ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692012-06-01123949The prolongation of central extensionsNguyen Tien QuangPham Thi CucChe Thi Kim PhungThe aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.http://www.theoryofgroups.ir/?_action=showPDF&article=740&_ob=3aee68490b43ff78d1ad06701ebbd4e0&fileName=full_text.pdfCrossed productgroup extensiongroup cohomologyobstruction |
| spellingShingle | Nguyen Tien Quang Pham Thi Cuc Che Thi Kim Phung The prolongation of central extensions International Journal of Group Theory Crossed product group extension group cohomology obstruction |
| title | The prolongation of central extensions |
| title_full | The prolongation of central extensions |
| title_fullStr | The prolongation of central extensions |
| title_full_unstemmed | The prolongation of central extensions |
| title_short | The prolongation of central extensions |
| title_sort | prolongation of central extensions |
| topic | Crossed product group extension group cohomology obstruction |
| url | http://www.theoryofgroups.ir/?_action=showPDF&article=740&_ob=3aee68490b43ff78d1ad06701ebbd4e0&fileName=full_text.pdf |
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