Mohammad, S. A. and Sarmin, N. H. and Mat Hassim, H. I. (2020) The exterior square of a Bieberbach group with quaternion point group of order eight. ASM Science Journal, 13 . p. 7. ISSN 1823-6782
|
PDF
315kB |
Official URL: http://dx.doi.org/10.32802/asmscj.2020.sm26(1.23)
Abstract
A Bieberbach group is defined to be a torsion free crystallographic group which is an extension of a free abelian lattice group by a finite point group. This paper aims to determine a mathematical representation of a Bieberbach group with quaternion point group of order eight. Such mathematical representation is the exterior square. Mathematical method from representation theory is used to find the exterior square of this group. The exterior square of this group is found to be nonabelian.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bieberbach group, Exterior square |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Science |
| ID Code: | 90039 |
| Deposited By: | Widya Wahid |
| Deposited On: | 31 Mar 2021 05:04 |
| Last Modified: | 31 Mar 2021 05:04 |
Repository Staff Only: item control page
