On Computing the Nonabelian Tensor Square of a Bieberbach Group with Dihedral Point Group of Order Eight

  • Wan Nor Farhana Wan Mohd Fauzi
  • Nor’ashiqin Mohd Idrus
  • Rohaidah Masri
  • Tan Yee Ting
Keywords: nonabelian tensor square, Bieberbach group

Abstract

The nonabelian tensor square is one of the important homological functors of a group. A Bieberbach group is a torsion free crystallographic group. In this paper, we compute the nonabelian tensor square of a Bieberbach group of dimension five with dihedral point group of order eight.

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Author Biographies

Wan Nor Farhana Wan Mohd Fauzi

Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris,
35900 Tanjung Malim, Perak, Malaysia.

Nor’ashiqin Mohd Idrus

Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris,
35900 Tanjung Malim, Perak, Malaysia.

Rohaidah Masri

Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris,
35900 Tanjung Malim, Perak, Malaysia.

Tan Yee Ting

Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris,
35900 Tanjung Malim, Perak, Malaysia.

Published
2014-12-01
How to Cite
Wan Mohd Fauzi, W. N. F., Mohd Idrus, N., Masri, R., & Yee Ting, T. (2014). On Computing the Nonabelian Tensor Square of a Bieberbach Group with Dihedral Point Group of Order Eight. Journal of Science and Mathematics Letters, 2, 13-22. Retrieved from https://ejournal.upsi.edu.my/index.php/JSML/article/view/405