The strong admissibility of finite Moufang loops

被引：1

作者：

Evans, Anthony B. ^{[1
]}

Gagola, Stephen M., III ^{[2
]}

机构：

[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

[2] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

来源：

DISCRETE MATHEMATICS | 2019年 / 342卷 / 09期

关键词：

Strong complete mappings; Moufang loops;

D O I：

10.1016/j.disc.2019.06.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A loop L is strongly admissible if there exists a bijection phi:L -> L for which the mappings g bar right arrow g phi(g) and g bar right arrow g(g phi(g)) are both bijections. We derive some results on the strong admissibility of finite nonassociative Moufang loops, constructed from groups using the Chein constructions. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：2717 / 2725

页数：9

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