Classification Of Moufang Loops Of Odd Order pq3
| dc.contributor.author | BALASINGAM GNANARAJ, ANDREW RAJAH | |
| dc.date.accessioned | 2023-01-12T04:02:50Z | |
| dc.date.available | 2023-01-12T04:02:50Z | |
| dc.date.issued | 2014-01-31 | |
| dc.description.abstract | An open problem in the theory of Moufang loops is to classify those loops which are minimally non associative, that is, loops which are non associative but where all proper subloops are associative. A related question is to classify all integers n for which a minimally nonassociative Moufang loop exists. In [Possible orders of nonassociative Moufang loops, Comment. Math. Univ. Carolin. 41~2) (2000) 237-244], O. Chein and A. Rajah showed that a minimal non associative Moufang loop of order 2q can be constructed by using a non-abelian group of order q3. In [Moufang loops of odd order pq3, J. Algebra 235 (2001) 66-93], A. Rajah proved that for odd primes p < q, a nonassociative Moufang loops of order pq3 exists if and only if q:: 1 (mod p). We have completely classified all minimally nonassociative Moufang loops of order pq3 for primes p < q. This result has been published as a joint article with Wing Loon Chee and Stephen M. Gagola III titled "Classification of minimal non associative Moufang loops of order pq311 in International Journal of Algebra and Computation, Volume 23, NO.8 (2013) 1895-1908 on 22 January 2014. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/17161 | |
| dc.language.iso | en | en_US |
| dc.publisher | Universiti Sains Malaysia | en_US |
| dc.title | Classification Of Moufang Loops Of Odd Order pq3 | en_US |
| dc.type | Technical Report | en_US |
Files
License bundle
1 - 1 of 1
Loading...
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: