Transformation of three crystallographic groups with matrix presentation into polycyclic / Nurain Mieza Mahirah Mohd Sarip, Siti Nuraishah Muhktar and Ani Ayuni Zainal

Mohd Sarip, Nurain Mieza Mahirah and Muhktar, Siti Nuraishah and Zainal, Ani Ayuni (2023) Transformation of three crystallographic groups with matrix presentation into polycyclic / Nurain Mieza Mahirah Mohd Sarip, Siti Nuraishah Muhktar and Ani Ayuni Zainal. [Student Project] (Unpublished)
Abstract

A Bieberbach group is a torsion free crystallographic group that represents an extension of a free abelian lattice group by a finite point group. This research began by taking the group offered in the Crystallographic Algorithms and Tables (CARAT) package, which is in the matrix form. These groups are shown to be polycyclic.

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