Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
In 2002, the classification of infinite non-Abelian 2-generator groups of nilpotency class 2 has been given. Let R be the class of infinite 2-generator groups of nilpotency class 2. Using their classification and nonabelian tensor squares, we determine the homological functors in R such as the exter...
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| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/15268/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:100254 |
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| Summary: | In 2002, the classification of infinite non-Abelian 2-generator groups of nilpotency class 2 has been given. Let R be the class of infinite 2-generator groups of nilpotency class 2. Using their classification and nonabelian tensor squares, we determine the homological functors in R such as the exterior square, the symmetric square and the Schur multiplier. They are given in what we call “the Composition Theorem”. |
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