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The generalization of the exterior square of a Bieberbach group

Masri, Rohaidah and Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Mohd. Idrus, Nor'ashiqin (2014) The generalization of the exterior square of a Bieberbach group. AIP Conference Proceedings, 1602 . pp. 849-854. ISSN 0094-243X

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Official URL: http://dx.doi.org/10.1063/1.4882583

Abstract

The exterior square of a group is one of the homological functors which were originated in the homotopy theory. Meanwhile, a Bieberbach group is a torsion free crystallographic group. A Bieberbach group with cyclic point group of order two, C2, of dimension n can be defined as the direct product of that group of the smallest dimension with a free abelian group. Using the group presentation and commutator generating sequence, the exterior square of a Bieberbach group with point group C2 of dimension n is computed.

Item Type:Article
Uncontrolled Keywords:exterior square, homological functors
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:62928
Deposited By: Fazli Masari
Deposited On:03 Oct 2017 04:18
Last Modified:03 Oct 2017 04:18

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