Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 77-84 |
| Number of pages | 8 |
| Journal | Journal of Prime Research in Mathematics |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 1 Nov 2015 |
Keywords
- Inner mapping group
- Multiplication group
- Translations
ASJC Scopus subject areas
- Mathematics(all)