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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| Main Authors: | , |
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| Format: | Book Section |
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Penerbit UTM
2007
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/13492/ |
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| Summary: | 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. |
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