On multiplication group of an AG-group

Authors

  • M. Shah DEPARTMENT OF MATHEMATICS, QUAID-I-AZAM UNIVERSTY, ISLAMABAD, PAKISTAN.
  • A. Ali DEPARTMENT OF MATHEMATICS, QUAID-I-AZAM UNIVERSTY, ISLAMABAD, PAKISTAN.
  • I. Ahmad DEPARTMENT OF MATHEMATICS, UNIVERSITY OF MALAKAND, DIR.
  • V. Sorge SCHOOL OF COMPUTER SCIENCE, UNIVERSITY OF BIRMINGHAM, UK.

Keywords:

Multiplication group, inner mapping group, translations

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.

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Published

2015-12-31

Issue

Vol. 11 No. 1 (2015): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On multiplication group of an AG-group. (2015). Journal of Prime Research in Mathematics, 11(1), 77 – 84. https://jprm.sms.edu.pk/index.php/jprm/article/view/110