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On multiplication group of an AG-group

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Title: On multiplication group of an AG-group

Authors: M. Shah, A. Ali, I. Ahmad, V. Sorge

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2015

Volume: 1

Issue: 1

Language: English

Keywords: AG-groupmultiplication group

Categories
Semigroups (10) Abstract Algebra (137) Algebra (130) Mathematics (5170) Group Theory (67)

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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