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The nonabelian tensor square of Bieberbach group of dimension five with dihedral point group of order eight

Wan Mohd. Fauzi, Wan Nor Farhana and Mohd. Idrus, Nor'ashiqin and Masri, Rohaidah and Sarmin, Nor Haniza (2014) The nonabelian tensor square of Bieberbach group of dimension five with dihedral point group of order eight. In: 21st National Symposium on Mathematical Sciences (SKSM21), 2014, Penang, Malaysia.

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Official URL: http://dx.doi.org/10.1063/1.4887659

Abstract

The nonabelian tensor product was originated in homotopy theory as well as in algebraic K-theory. The nonabelian tensor square is a special case of the nonabelian tensor product where the product is defined if the two groups act on each other in a compatible way and their action are taken to be conjugation. In this paper, the computation of nonabelian tensor square of a Bieberbach group, which is a torsion free crystallographic group, of dimension five with dihedral point group of order eight is determined. Groups, Algorithms and Programming (GAP) software has been used to assist and verify the results.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:groups, algorithms and programming (GAP), Bieberbach group
Subjects:T Technology > TP Chemical technology
Divisions:Science
ID Code:62988
Deposited By: Fazli Masari
Deposited On:03 Oct 2017 07:14
Last Modified:03 Oct 2017 07:14

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