The generalization of the Schur multipliers of Bieberbach groups
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 coc...
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| Main Authors: | , , , , |
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| 格式: | Conference or Workshop Item |
| 出版: |
2014
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| 主题: | |
| 在线阅读: | http://eprints.utm.my/id/eprint/68562/ http://dx.doi.org/10.1063/1.4903622 |
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| 总结: | 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. |
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