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On the Generalization of the Nonabelian Tensor Square of a Bieberbach Group with Symmetric Point Group

Affiliations

  • Faculty of Science and Mathematics, Department of Mathematics, Sultan Idris Education University, Tanjung Malim, Perak Darul Ridzuan 35900,, Malaysia
  • Faculty of Science, Department of Mathematical Sciences, Universiti of Technology, Pusat Pentadbiran Universiti Teknologi Malaysia, UTM, 81310 Skudai,, Malaysia

Abstract


The nonabelian tensor square is a homological functor which can reveal the properties of a group. Meanwhile, a Bieberbach group with symmetric point group of order six is polycyclic. In this paper, by using the method constructed for polycyclic groups, the nonabelian tensor square of the group is computed and generalized up to dimension n. The finding shows that the nonabelian tensor square of the group is nonabelian and its generalized presentation is constructed.

Keywords

Bieberbach Group, Generalization, Nonabelian Tensor Square, Symmetric Point Group.

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References


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