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arXiv · 1403.0507

The Multiplication Group of an AG-group

Muhammad Shah·Asif Ali·Imtiaz Ahmad·Volker Sorge
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Abstract

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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Muhammad Shah, Asif Ali, Imtiaz Ahmad, Volker Sorge. 2014-03-03. The Multiplication Group of an AG-group. https://arxiv.org/abs/1403.0507

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