Formulation of the homological functors of some Bieberbach groups with dihedral point group
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | أطروحة |
| اللغة: | الإنجليزية |
| منشور في: |
2015
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://ir.upsi.edu.my/detailsg.php?det=1026 |
| Abstract | Abstract here |
| _version_ | 1855625594999406592 |
|---|---|
| author | Wan Nor Farhana Wan Mohd Fauzi |
| author_facet | Wan Nor Farhana Wan Mohd Fauzi |
| author_sort | Wan Nor Farhana Wan Mohd Fauzi |
| description | |
| format | Thesis |
| id | upsi-1026 |
| institution | Universiti Pendidikan Sultan Idris |
| language | English |
| publishDate | 2015 |
| record_format | sWADAH |
| record_pdf | Restricted |
| spelling | upsi-10262020-02-27 Formulation of the homological functors of some Bieberbach groups with dihedral point group 2015 Wan Nor Farhana Wan Mohd Fauzi QA Mathematics The purpose of this research is to produce the formulas of the homological functors of some Bieberbach groups of dimension ?ve with dihedral point group of order eight. The homological functors consist of the nonabelian tensor square, G-trivial subgroup of the nonabelian tensor square, the central subgroup of the nonabelian tensor square, the nonabelian exterior square and Schur multiplier. The computational method for polycyclic groups is used to determine the formulas of the functors. Selected theorems, lemmas and de?nitions are also used in the computation. The ?findings of this research are the new formulas of the homological functors and also the generalization of one of the functors that is the central subgroup of the nonabelian tensor square. As a conclusion, the nonabelian tensor square and the nonabelian exterior square are found to be not abelian. While G-trivial subgroup of the nonabelian tensor square, the central subgroup of the nonabelian tensor square and Schur multiplier are abelian. The implication of the ?ndings enables the properties of other Bieberbach groups to be explored. In addition, the results can be bene?cial not only to mathematicians in terms of theories and applications but also to chemists and physicists. 2015 thesis https://ir.upsi.edu.my/detailsg.php?det=1026 https://ir.upsi.edu.my/detailsg.php?det=1026 text eng N/A openAccess Masters Universiti Pendidikan Sultan Idris Fakulti Sains dan Matematik N/A |
| spellingShingle | QA Mathematics Wan Nor Farhana Wan Mohd Fauzi Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| thesis_level | Master |
| title | Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| title_full | Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| title_fullStr | Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| title_full_unstemmed | Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| title_short | Formulation of the homological functors of some Bieberbach groups with dihedral point group |
| title_sort | formulation of the homological functors of some bieberbach groups with dihedral point group |
| topic | QA Mathematics |
| url | https://ir.upsi.edu.my/detailsg.php?det=1026 |
| work_keys_str_mv | AT wannorfarhanawanmohdfauzi formulationofthehomologicalfunctorsofsomebieberbachgroupswithdihedralpointgroup |