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On multiplication groups of loops

✍ Scribed by Markku Niemenmaa; Tomáš Kepka

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
551 KB
Volume
135
Category
Article
ISSN
0021-8693

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Let S be a finite subset of a group G, |S| = n, and let g ∈ S • S. Then g induces a partial function λ g : S → S by λ g (s) = t if and only if st = g and λ g (s) is not defined if g ∈ sS. For every g ∈ S • S, λ g is a one-to-one mapping. In this note we describe the groups which have a finite genera