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

Emmanuel  Joel; Lois  Adewoye Ademola

doi:10.56892/bima.v8i3.758

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

Authors

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

DOI:

https://doi.org/10.56892/bima.v8i3.758

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 ⁴³cannot have an associator subloop of odd order .

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Published

2024-09-20

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. https://doi.org/10.56892/bima.v8i3.758