Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Luise, Charlotte Kappe (2009) Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem. In: 5th Asian Mathematical Conference (AMC09), 2009, PWTC, Kuala Lumpur.
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Abstract
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”.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Composition Theorem, homological functors |
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Science |
| ID Code: | 15268 |
| Deposited By: | Narimah Nawil |
| Deposited On: | 23 Sep 2011 02:55 |
| Last Modified: | 30 Aug 2020 08:46 |
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