Masri, Rohaidah and Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Muhainiah and Mohd. Idrus, Nor'ashiqin (2014) The generalization of the Schur multipliers of Bieberbach groups. In: 3rd International Conference on Quantitative Sciences and Its Applications: Fostering Innovation, Streamlining Development, ICOQSIA 2014, 12-14 Augut, 2014, Langkawi, Malaysia.
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Official URL: http://dx.doi.org/10.1063/1.4903622
Abstract
The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete cocompact group of isometries of oriented Euclidean space. In this research, the Schur multipliers of Bieberbach groups with cyclic point group of order two of finite dimension are computed.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | exterior square, schur multiplier |
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Science |
| ID Code: | 68562 |
| Deposited By: | Fazli Masari |
| Deposited On: | 08 Oct 2017 03:28 |
| Last Modified: | 08 Oct 2017 03:28 |
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