Classification Of Moufang Loops Of Odd Order

dc.contributor.author	Chee, Wing Loon
dc.date.accessioned	2018-11-07T05:41:34Z
dc.date.available	2018-11-07T05:41:34Z
dc.date.issued	2010-06
dc.description.abstract	The Moufang identity (x · y) · (z · x) = [x · (y · z)] · x was first introduced by Ruth Moufang in 1935. Now, a loop that satisfies the Moufang identity is called a Moufang loop. Our interest is to study the question: “For a positive integer n, must every Moufang loop of order n be associative?”. If not, can we construct a nonassociative Moufang loop of order n? These questions have been studied by handling Moufang loops of even and odd order separately. For even order, Chein (1974) constructed a class of nonassociative Moufang loop, M(G, 2) of order 2m where G is a nonabelian group of order m. Following that, Chein and Rajah (2000) have proved that all Moufang loops of order 2m are associative if and only if all groups of order m are abelian.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/7010
dc.language.iso	en	en_US
dc.publisher	Universiti Sains Malaysia	en_US
dc.subject	Classification Of Moufang Loops	en_US
dc.subject	Odd Order	en_US
dc.title	Classification Of Moufang Loops Of Odd Order	en_US
dc.type	Thesis	en_US

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