Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group

Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentatio...

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Bibliographic Details
Main Authors: Mohammad, Siti Afiqah, Sarmin, Nor Haniza, Hassim, Hazzirah Izzati Mat
Format: Conference Proceeding
Language:English
Subjects:
Homology
Quaternions
Online Access:Get full text
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Summary:Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentation of a Bieberbach group with the quaternion point group of order eight is shown to be consistent.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4940813