Moufang Loops of Odd Order $pq^4$
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
The paper continues on the characterisation of positive integers n for which all Moufang loops of order n are associative. We study the case $n = pq^4$ where p and q are distinct odd primes, and show that all Moufang loops of order $pq^4$ are associative if and only if $q ≠ 3$ and $q ≠ 1$ (mod p ).
Classification :
20N05
@article{BMMS_2014_37_2_a10,
author = {Wing Loon Chee and Andrew Rajah},
title = {Moufang {Loops} of {Odd} {Order} $pq^4$},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a10/}
}
Wing Loon Chee; Andrew Rajah. Moufang Loops of Odd Order $pq^4$. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a10/