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01191 am a22001693u 4500 |
| 001 |
54313 |
| 042 |
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|a dc
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| 100 |
1 |
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|a Mohd. Idrus, Nor'ashiqin
|e author
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| 700 |
1 |
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|a Sarmin, Nor Haniza
|e author
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| 700 |
1 |
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|a Mat Hassim, Hazzirah Izzati
|e author
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| 700 |
1 |
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|a Masri, Rohaidah
|e author
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| 245 |
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|a On the abelianization of a torsion free crystallographic group
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| 260 |
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|b Penerbit UTM,
|c 2014.
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| 856 |
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/54313/1/NorHanizaSarmin2014_Ontheabelianizationofatorsion.pdf
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|a A torsion free crystallographic group, which is also known as a Bieberbach group is a generalization of free abelian groups. It is an extension of a lattice group by a finite point group. The study of n-dimensional crystallographic group had been done by many researchers over a hundred years ago. A Bieberbach group has been characterized as a fundamental group of compact, connected, flat Riemannian manifolds. In this paper, we characterize Bieberbach groups with trivial center as exactly those with finite abelianizations. The abelianization of a Bieberbach group is shown to be finite if the center of the group is trivial
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| 546 |
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|a en
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|a TP Chemical technology
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