Title of article
The Exterior Squares of Some Crystallographic Groups
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
From page
7
To page
13
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.
Keywords
Crystallographic groups , Bieberbach groups , exterior squares
Journal title
Jurnal Teknologi :F
Journal title
Jurnal Teknologi :F
Record number
2716175
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