A Class Of Moufang Loops

dc.contributor.author	JAMAL, ENA
dc.date.accessioned	2016-08-02T08:18:00Z
dc.date.available	2016-08-02T08:18:00Z
dc.date.issued	1997-06
dc.description.abstract	It is known that groups and Moufang loops are closely related. All groups are Moufang loops but the converse is not true. It is, therefore, the aim of this research to determine which Moufang loops are groups. Let L be a Moufang loop of order n. For n = 2p2, where p is an odd prime, it can be shown that L = C2 Xl C 2 or C2 ><l (Cp x Cp ) if L is not a cyclic group. Then it p was proved in [7] that L is a group in each case. This thesis studies Moufang loops of the form L == Cs' Xl (Cpu X Cqll ), where s, p and q are primes. We prove that L is a group for the following cases: (a) p;t. q; (b) P = q; and ( i ) s = 2 and p is odd; or ( ii) s = 2, P = 2 and ex = ~ = 1 ( counter examples exist when ex or ~ is greater than 1 ); or ( iii) s is odd and p = 2. Note: This problem is still open for the case p = q with sand p odd.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/2338
dc.subject	A Class Of Moufang Loops	en_US
dc.title	A Class Of Moufang Loops	en_US
dc.type	Thesis	en_US

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