Moufang Loop of Odd Order pq4r3 and Associator Subloop of Odd Order r2

Authors

  • Emmanuel Joel Department of Mathematics, University of Jos, Plateau State, Nigeri
  • Lois Adewoye Ademola Department of Mathematics, University of Jos, Plateau State, Nigeria

Keywords:

Moufang loop, Maximal subloop, Associator Subloop, Order, Nonassociative

Abstract

Under the condition that , with , where  and  are distinct odd primes, Moufang loops of order ⁴³ has been shown to be associative (Rajah & Ademola, 2017). In this paper, we searched through the unique characteristics of Moufang loop of odd order ⁴³ and it's associator subloop of odd order ² under the conditions that  and  be odd primes with  and . This paper has also shown that Moufang Loop of odd order 43 cannot have an associator subloop of odd order .

 

 

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Published

2024-09-30

How to Cite

Joel, . E. ., & Adewoye Ademola, L. . (2024). Moufang Loop of Odd Order pq4r3 and Associator Subloop of Odd Order r2. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 8(3A), 31-39. Retrieved from https://journals.gjbeacademia.com/index.php/bimajst/article/view/749

Issue

Vol. 8 No. 3A (2024): Volume 8 Issue 3A(September 2024)

Section

Articles