Mohammad, Siti Afiqah and Sarmin, Nor Haniza and Mat Hassim, Hazzirah Izzati (2017) The nonabelian tensor square of a crystallographic group with quaternion point group of order eight. In: Asian Mathematical Conference 2016, AMC 2016, 25  29 July 2016, Nusa Dua, Bali.

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Official URL: http://dx.doi.org/10.1088/17426596/893/1/012006
Abstract
A crystallographic group is a discrete subgroup of the set of isometries of Euclidean space where the quotient space is compact. A torsion free crystallographic group, or also known as a Bieberbach group has the symmetry structure that will reveal its algebraic properties. One of the algebraic properties is its nonabelian tensor square. 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 is taken to be conjugation. Meanwhile, Bieberbach group with quaternion point group of order eight is a polycyclic group. In this paper, by using the polycyclic method, the computation of the nonabelian tensor square of this group will be shown.
Item Type:  Conference or Workshop Item (Paper) 

Uncontrolled Keywords:  algebraic properties, crystallographic group, euclidean spaces 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  97251 
Deposited By:  Narimah Nawil 
Deposited On:  23 Sep 2022 04:32 
Last Modified:  23 Sep 2022 04:32 
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