Abstract:If H is a Moufang loop, and x ∈ H , there are defined permutations of H , L ( x ): y ↦ xy and R ( x ): y ↦ yx . The group Gr (H) , generated by these permutations for all choices of x , is called the ...If H is a Moufang loop, and x ∈ H , there are defined permutations of H , L ( x ): y ↦ xy and R ( x ): y ↦ yx . The group Gr (H) , generated by these permutations for all choices of x , is called the multiplication group of H . It has a close connexion with the structure of H , as shown, for instance, in the papers of Albert(1). The purpose of this paper is to investigate the correspondence between groups and loops, so that group theoretic results may be applied to determine the structure of Moufang loops.Read More
Publication Year: 1978
Publication Date: 1978-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 98
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