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.

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Official URL: http://dx.doi.org/10.1063/1.4801248

## Abstract

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.

Item Type: | Conference or Workshop Item (Paper) |
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Additional Information: | Mat Hassim, H. I., Sarmin, N. H., Mohd Ali, N. M., Masri, R., & Mohd Idrus, N. A. (2013). The Schur multipliers of certain Bieberbach groups with abelian point groups. In AIP Conference Proceedings (Vol. 1522, pp. 1069-1074). |

Uncontrolled Keywords: | Bieberbach groups, exterior square, schur multiplier |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 51370 |

Deposited By: | Haliza Zainal |

Deposited On: | 27 Jan 2016 09:53 |

Last Modified: | 12 Sep 2017 15:16 |

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