Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2
Let R be the class of in?nite non-abelian 2-generator groups of nilpotency class 2 of type 2. Using their classi?cation and non-abelian tensor squares given by N.H. Sarmin in 2002, we determine certain homological functors in R such as the exterior square, the symmetric square and the Schur multipli...
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2007
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my.utm.134922017-10-05T07:28:12Z http://eprints.utm.my/id/eprint/13492/ Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Q Science (General) Let R be the class of in?nite non-abelian 2-generator groups of nilpotency class 2 of type 2. Using their classi?cation and non-abelian tensor squares given by N.H. Sarmin in 2002, we determine certain homological functors in R such as the exterior square, the symmetric square and the Schur multiplier. GAP is used to ?rst compute the homological functors for some speci?c groups in R, and then the functors are generalized. Penerbit UTM 2007 Book Section PeerReviewed Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza (2007) Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2. In: Recent Advances In Theoretical and Numerical Methods. Penerbit UTM, Johor, pp. 29-44. ISBN 978-983-52-0610-8 |
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Q Science (General) |
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Q Science (General) Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| description |
Let R be the class of in?nite non-abelian 2-generator groups of nilpotency class 2 of type 2. Using their classi?cation and non-abelian tensor squares given by N.H. Sarmin in 2002, we determine certain homological functors in R such as the exterior square, the symmetric square and the Schur multiplier. GAP is used to ?rst compute the homological functors for some speci?c groups in R, and then the functors are generalized. |
| format |
Book Section |
| author |
Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza |
| author_facet |
Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza |
| author_sort |
Mohd. Ali, Nor Muhainiah |
| title |
Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| title_short |
Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| title_full |
Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| title_fullStr |
Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| title_full_unstemmed |
Homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| title_sort |
homological functors of infinite 2-generator groups of nilpotency class two of type 1 and type 2 |
| publisher |
Penerbit UTM |
| publishDate |
2007 |
| url |
http://eprints.utm.my/id/eprint/13492/ |
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1643646204046737408 |
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13.211869 |