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The Central Subgroup of Nonabelian Tensor Square of the Third Bieberbach Group with Dihedral Point Group

N. Mohd Idrus, W. N. F. Wan Mohd Fauzi, R. Masri, Y. T. Tan, N. H. Sarmin, H. I. Mat Hassim

Abstract


The central subgroup of the nonabelian tensor square of a group G is a normal subgroup of G generated by the element where g in G. The subgroup can be obtained by determining the abelianizatian of the group. In this paper, the central subgroup of the nonabelian tensor square of the third Bieberbach group with dihedral point group is computed by using the abelianizatian of the group and the nonabelian tensor square of the abelianization of the group.

Keywords


Central subgroup of nonabelian tensor square; abelianization, Bieberbach group.

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