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The generalization of the Schur multipliers of Bieberbach groups

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 Schur multipliers of Bieberbach groups. AIP Conference Proceedings, 1635 . pp. 461-464. ISSN 0094-243X

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Official URL: http://dx.doi.org/10.1063/1.4903622

Abstract

The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete cocompact group of isometries of oriented Euclidean space. In this research, the Schur multipliers of Bieberbach groups with cyclic point group of order two of finite dimension are computed.

Item Type:Article
Uncontrolled Keywords:exterior square, schur multiplier
Subjects:Q Science
Divisions:Science
ID Code:62929
Deposited By: Fazli Masari
Deposited On:03 Oct 2017 12:19
Last Modified:03 Oct 2017 12:19

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