The nonabelian tensor squares and homological functors of some 2-engel groups
Originated in homotopy theory, the nonabelian tensor square is a special case of the nonabelian tensor product. The nonabelian tensor square of a group G, denoted as G7G is generated by the symbols g7h, for all g, hdG subject to the relations gg'7h = (gg'7gh) (g7h) and g7hh' = (g7h)(h...
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| Format: | Article |
| Language: | English |
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Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris (UPSI)
2012
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| Online Access: | http://eprints.utm.my/33603/1/HazzirahIzzatiMat2012_TheNonabelianTensorSquaresandHomological.pdf |
| _version_ | 1796857220941479936 |
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| author | Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah |
| author_facet | Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah |
| author_sort | Mat Hassim, Hazzirah Izzati |
| collection | ePrints |
| description | Originated in homotopy theory, the nonabelian tensor square is a special case of the nonabelian tensor product. The nonabelian tensor square of a group G, denoted as G7G is generated by the symbols g7h, for all g, hdG subject to the relations gg'7h = (gg'7gh) (g7h) and g7hh' = (g7h)(hg7hh'), for all g, g', h, h'dG where the action is taken to be conjugation. The homological functors of a group including J(G), d(G), the exterior square, the Schur multiplier, d(G), the symmetric square and J? (G) d(G) are closely related to the nonabelian tensor square of the group. In this paper, the nonabelian tensor squares and homological functors of some 2-Engel groups will be presented. |
| first_indexed | 2024-03-05T18:54:27Z |
| format | Article |
| id | utm.eprints-33603 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:54:27Z |
| publishDate | 2012 |
| publisher | Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris (UPSI) |
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| spelling | utm.eprints-336032017-10-13T10:50:10Z http://eprints.utm.my/33603/ The nonabelian tensor squares and homological functors of some 2-engel groups Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Q Science QA Mathematics Originated in homotopy theory, the nonabelian tensor square is a special case of the nonabelian tensor product. The nonabelian tensor square of a group G, denoted as G7G is generated by the symbols g7h, for all g, hdG subject to the relations gg'7h = (gg'7gh) (g7h) and g7hh' = (g7h)(hg7hh'), for all g, g', h, h'dG where the action is taken to be conjugation. The homological functors of a group including J(G), d(G), the exterior square, the Schur multiplier, d(G), the symmetric square and J? (G) d(G) are closely related to the nonabelian tensor square of the group. In this paper, the nonabelian tensor squares and homological functors of some 2-Engel groups will be presented. Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris (UPSI) 2012 Article PeerReviewed application/pdf en http://eprints.utm.my/33603/1/HazzirahIzzatiMat2012_TheNonabelianTensorSquaresandHomological.pdf Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah (2012) The nonabelian tensor squares and homological functors of some 2-engel groups. Journal of Science and Mathematics Letters, 4 (1). pp. 53-59. ISSN 1985-7918 https://ejournal.upsi.edu.my/article/2016AR001034 |
| spellingShingle | Q Science QA Mathematics Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah The nonabelian tensor squares and homological functors of some 2-engel groups |
| title | The nonabelian tensor squares and homological functors of some 2-engel groups |
| title_full | The nonabelian tensor squares and homological functors of some 2-engel groups |
| title_fullStr | The nonabelian tensor squares and homological functors of some 2-engel groups |
| title_full_unstemmed | The nonabelian tensor squares and homological functors of some 2-engel groups |
| title_short | The nonabelian tensor squares and homological functors of some 2-engel groups |
| title_sort | nonabelian tensor squares and homological functors of some 2 engel groups |
| topic | Q Science QA Mathematics |
| url | http://eprints.utm.my/33603/1/HazzirahIzzatiMat2012_TheNonabelianTensorSquaresandHomological.pdf |
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