We are investigating 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 a 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.
|Number of pages||8|
|Journal||Journal of Prime Research in Mathematics|
|Publication status||Published - 1 Nov 2015|
- Inner mapping group
- Multiplication group
ASJC Scopus subject areas