Author/Authors :
Mat Hassim, Hazzirah Izzati Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Sarmin, Nor Haniza Universiti Teknologi Malaysia - Faculty of Sciences - Department of Mathematical Sciences, Malaysia , Ali, Nor Muhainiah Mohd Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Masri, Rohaidah Universiti Pendidikan Sultan Idris - Faculty of Science and Mathematics - Department of Mathematics, Malaysia , Idrus, Nor’ashiqin Mohd Universiti Pendidikan Sultan Idris - Faculty of Science and Mathematics - Department of Mathematics, Malaysia
Abstract :
A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space E^n , where the quotient space E^n/G 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.
