The exterior squares of some crystallographic groups

Mat Hassim Hazzirah Izzati, Sarmin Nor Haniza, Mohd Ali Nor Muhainiah, Masri Rohaidah, Mohd Idrus Nor’ashiqin,

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Type :	article
Subject :	QA Mathematics
ISSN :	0127–9696
Main Author :	Mat Hassim Hazzirah Izzati, Sarmin Nor Haniza, Mohd Ali Nor Muhainiah, Masri Rohaidah, Mohd Idrus Nor’ashiqin,
Title :	The exterior squares of some crystallographic groups

Year of Publication :

2013

Abstract :

A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space E n ,where the quotient space En/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

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