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A Homological Functor of the Second Bieberbach Group with Dihedral Point Group

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

Abstract


One of the ways to explore the properties of a group G is by computing its homological functors. One of the homological functors of a group G is the G-trivial subgroup of the nonabelian tensor square of a group. In this paper, the computation of the G-trivial subgroup of the nonabelian tensor square of the second Bieberbach group with dihedral point group is presented. A Bieberbach group is defined as a torsion free crystallographic group

Keywords


Homological functors; G-trivial subgroup of nonabelian tensor square; Bieberbach group

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