The exterior squares of some crystallographic groups

• Main Authors: Mat Hassima, Hazzirah Izzati, Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Masri, Rohaidah, Mohd. Idrus, Nor’ashiqin
• Format: Article
• Language: English
• Published: Penerbit UTM 2013
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/50195/1/HazzirahIzzatiMat2013_Theexteriorsquaresofsome.pdf; http://eprints.utm.my/id/eprint/50195/; https://dx.doi.org/10.11113/jt.v62.1882
• Institution: Universiti Teknologi Malaysia

A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space ,nE where the quotient space nGE is compact. A specific type of crystallographic groups is called Bieberbach groups. A Bieberbach group is defined to be a torsion free crystallographic group. In this paper, the exterior squares of some Bieberbach groups with abelian point groups are computed. The exterior square of a group is the factor group of the nonabelian tensor square with the central subgroup of the group