The schur multipliers of certain bieberbach groups with abelian point groups
The Schur multiplier of a group G is the kernel of a homomorphism κ′ from the exterior square of the group, G ∧ G to its commutator subgroup, G′ defined by κ′(g ∧ h) = [g,h] for g,h ∈ G. In this research, the Schur multipliers are computed for certain Bieberbach groups with abelian point groups. A B...
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my.utm.513702017-09-12T07:16:45Z http://eprints.utm.my/id/eprint/51370/ The schur multipliers of certain bieberbach groups with abelian point groups Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Masri, Rohaidah Mohd. Idrus, Nor'ashiqin QA Mathematics The Schur multiplier of a group G is the kernel of a homomorphism κ′ from the exterior square of the group, G ∧ G to its commutator subgroup, G′ defined by κ′(g ∧ h) = [g,h] for g,h ∈ G. In this research, the Schur multipliers are computed for certain Bieberbach groups with abelian point groups. A Bieberbach group is a torsion free crystallographic group. It is an extension of a free abelian group L of finite rank by a finite group P. Here, L is known as the lattice group while P is the point group of the Bieberbach group. 2013-04 Conference or Workshop Item PeerReviewed Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Masri, Rohaidah and Mohd. Idrus, Nor'ashiqin (2013) The schur multipliers of certain bieberbach groups with abelian point groups. In: Proceedings of the 20th National Symposium on Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B, 18-20 December 2012, Putrajaya, Malaysia. http://dx.doi.org/10.1063/1.4801248 |
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QA Mathematics Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Masri, Rohaidah Mohd. Idrus, Nor'ashiqin The schur multipliers of certain bieberbach groups with abelian point groups |
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The Schur multiplier of a group G is the kernel of a homomorphism κ′ from the exterior square of the group, G ∧ G to its commutator subgroup, G′ defined by κ′(g ∧ h) = [g,h] for g,h ∈ G. In this research, the Schur multipliers are computed for certain Bieberbach groups with abelian point groups. A Bieberbach group is a torsion free crystallographic group. It is an extension of a free abelian group L of finite rank by a finite group P. Here, L is known as the lattice group while P is the point group of the Bieberbach group. |
| format |
Conference or Workshop Item |
| author |
Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Masri, Rohaidah Mohd. Idrus, Nor'ashiqin |
| author_facet |
Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Masri, Rohaidah Mohd. Idrus, Nor'ashiqin |
| author_sort |
Mat Hassim, Hazzirah Izzati |
| title |
The schur multipliers of certain bieberbach groups with abelian point groups |
| title_short |
The schur multipliers of certain bieberbach groups with abelian point groups |
| title_full |
The schur multipliers of certain bieberbach groups with abelian point groups |
| title_fullStr |
The schur multipliers of certain bieberbach groups with abelian point groups |
| title_full_unstemmed |
The schur multipliers of certain bieberbach groups with abelian point groups |
| title_sort |
schur multipliers of certain bieberbach groups with abelian point groups |
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2013 |
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http://eprints.utm.my/id/eprint/51370/ http://dx.doi.org/10.1063/1.4801248 |
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