Universiti Teknologi Malaysia Institutional Repository

The exterior squares of some crystallographic groups

Mat Hassima, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Masri, Rohaidah and Mohd. Idrus, Nor’ashiqin (2013) The exterior squares of some crystallographic groups. Jurnal Teknologi (Sciences and Engineering), 62 (3). pp. 7-13. ISSN 0127-9696

[img]
Preview
PDF
1MB

Official URL: https://dx.doi.org/10.11113/jt.v62.1882

Abstract

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

Item Type:Article
Uncontrolled Keywords:crystallographic groups, Bieberbach groups, exterior squares
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:50195
Deposited By: Siti Nor Hashidah Zakaria
Deposited On:02 Dec 2015 10:09
Last Modified:14 Oct 2018 16:33

Repository Staff Only: item control page