The generalization of the Schur multipliers of Bieberbach groups

• Main Authors: Masri, Rohaidah, Mat Hassim, Hazzirah Izzati, Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Mohd. Idrus, Nor'ashiqin
• Format: Article
• Published: American Institute of Physics Inc. 2014
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/62929/; http://dx.doi.org/10.1063/1.4903622
• Institution: Universiti Teknologi Malaysia

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...