Product rules and classification of nonassociative Moufang loops of order 81

被引：1

作者：

Chee, Wing Loon ^{[1
]}

Rajah, Andrew ^{[2
]}

机构：

[1] Univ Nottingham Malaysia, Fac Sci & Engn, Sch Math Sci, Jalan Broga, Semenyih 43500, Selangor, Malaysia

[2] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2020年 / 30卷 / 04期

关键词：

Product rule; classification; nonassociative Moufang loop; generator; presentation; LAGRANGES THEOREM; ODD ORDER;

D O I：

10.1142/S0218196720500186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we produce the product rules of nonassociative Moufang loops of order 81 by using an analytical approach. We then explore all possible presentations on a suitable set of generators, thereby obtaining a total of five nonisomorphic cases. The result is in agreement with the classification by Nagy and Vojtechovsky using the GAP package LOOPS.

引用

页码：711 / 730

页数：20

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