On multiplication group of an AG-group

Research output: Contribution to journalArticle

Authors

Colleges, School and Institutes

External organisations

  • Quaid-i-azam Universty
  • University of Malakand
  • Department of Mathematics
  • Quaid-i-azam Universty

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.

Details

Original languageEnglish
Pages (from-to)77-84
Number of pages8
JournalJournal of Prime Research in Mathematics
Volume11
Issue number1
Publication statusPublished - 1 Nov 2015

Keywords

  • Inner mapping group, Multiplication group, Translations

ASJC Scopus subject areas