MARC details
| 000 -LEADER |
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| fixed length control field |
02207nam a2200265 a 4500 |
| 001 - CONTROL NUMBER |
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vtls000063759 |
| 003 - CONTROL NUMBER IDENTIFIER |
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KUKTEM |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20251114204519.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
120919t2012 my a f m 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
THE0002035(Local) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
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| Level of rules in bibliographic description |
201905131614 |
| Level of effort used to assign nonsubject heading access points |
yusri |
| Level of effort used to assign subject headings |
201209191258 |
| Level of effort used to assign classification |
ida |
| -- |
201209191250 |
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ida |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
UMP |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
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| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA612.7 .S53 2012 rs Thesis |
| 100 0# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Mohd Sham Mohamad |
| 245 10 - TITLE STATEMENT |
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| Title |
Compatibility conditions and nonabelian tensor products of finite cyclic groups of ρ-power order / |
| Statement of responsibility, etc. |
Mohd Sham Mohamad |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Skudai, Johor : |
| Name of publisher, distributor, etc. |
Universiti Teknologi Malaysia, |
| Date of publication, distribution, etc. |
2012 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 78 p. : |
| Other physical details |
ill. ; |
| Dimensions |
30 cm. + |
| Accompanying material |
1 CD-ROM |
| 502 ## - DISSERTATION NOTE |
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| Dissertation note |
Thesis (Doctor of Philosophy (Mathematics) -- Universiti Teknologi Malaysia - 2012 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Bibliography : p. 65-66 |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
The nonabelian tensor pro ducts of groups originated from a generalized Van Kampen Theorem and its construction has its origins in algebraic K-theory and in homotopy theory. In this research, cyclic groups of p -power order where p is a prime number are considered. The aim of this research is to prove that the nonabelian tensor pro ducts of some finite cyclic groups of p -power order are cyclic. This research starts with the characterization of automorphisms of cyclic groups of p -power order using numb er theoretical results where the order of the actions are considered. Then, the necessary and sufficient conditions for the actions to be compatible are determined for a pair of finite cyclic groups. Finally, by using a general expansion formula, the nonabelian tensor products of some cyclic groups of p-power order are proven to be cyclic. The results of this research show that the nonabelian tensor pro duct of cyclic groups of p -p ower order where p is an odd prime with two-sided actions are cyclic. Furthermore, the nonabelian tensor product of cyclic groups of 2-power order with two-sided actions and both actions have order greater than two have been proven to be also cyclic |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Homotopy theory |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Non-Abelion groups |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Finite groups |