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

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 a...

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Bibliographic Details
Main Authors: Mohd Sarip, Nurain Mieza Mahirah, Muhktar, Siti Nuraishah, Zainal, Ani Ayuni
Format: Student Project
Language:English
Published: 2023
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/83549/1/83549.pdf
https://ir.uitm.edu.my/id/eprint/83549/
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Summary: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.