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| 005 | 20251117113410.0 | ||
| 008 | 180712s2018 my f am 000 0 eng d | ||
| 020 | _aTHE0000204(Local) | ||
| 039 | 9 |
_a201905141025 _bnazirah _y201807121544 _zsaini |
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| 040 |
_aUMP _beng _cUMP _erda |
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| 090 | _aFIST .S53 2018 r Thesis | ||
| 100 | 1 |
_aShahoodh, Mohammed Khalid, _eauthor. |
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| 245 | 1 | 0 |
_aCompatible actions for finite cyclic groups of p-power order / _cMohammed Khalid Shahoodh |
| 264 | 1 |
_aKuantan, Pahang : _bUMP, _c2018 |
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| 300 |
_axi, 88 pages ; _c30 cm. + _e1 CD-ROM |
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| 336 |
_atext _2rdacontent |
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_aunmediated _2rdamedia |
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_acomputer _2rdamedia |
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_avolume _2rdacarrier |
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_acomputer disc _2rdacarrier |
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_atext file _bPDF _2rda |
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| 500 | _aFaculty of Industrial Sciences and Technology | ||
| 502 | _aThesis (Doctor of Philosophy) -- Universiti Malaysia Pahang – 2018 | ||
| 504 | _aIncludes bibliographical references | ||
| 520 | 3 | _aThe concept of the nonabelian tensor product of groups has its origins in the algebraic K-theory and the homotopy theory. This concept is defined on the actions which are compatible to each other. A different compatible pairs of actions can give a different nonabelian tensor products. Therefore, the maximum different nonabelian tensor product depends on the number of compatible pairs of actions. Thus, this research focuses on determining the number of compatible pairs of actions between two finite cyclic groups of p-power order, where p is an odd prime. This research starts with determining the necessary and sufficient conditions for the actions that have p-power order to be compatible. Then, the number of the automorphisms that have the p-power order for such type of groups, which present the actions are found. By the necessary and sufficient conditions, the number of the compatible pairs of actions has been determined according to the order of the action. Furthermore, the compatible action graph and its subgraph were introduced for the finite cyclic groups of p-power order. Then, some properties of the compatible action graph are also presented. | |
| 610 | 2 | 0 |
_aFaculty of Industrial Sciences and Technology _xDissertations |
| 650 | 0 |
_aUniversities and colleges _xDisertations |
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| 650 | 0 | _aTheses | |
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