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arxiv: 1403.0507 · v1 · pith:IRZA7WUNnew · submitted 2014-03-03 · 🧮 math.GR

The Multiplication Group of an AG-group

classification 🧮 math.GR
keywords grouporderag-groupmultiplicationabeliancalledclasscyclic
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We investigate the multiplication group of a special class of quasigroup called AG-group. We prove some interesting results such as: the multiplication group of an AG-group of order n is non-abelian group of order 2n and its left section is an abelian group of order n. The inner mapping group of an AG-group of any order is a cyclic group of order 2.

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