Properties of gyrogroups induced by groups whose central quotients being 2-Engel

被引：1

作者：

Wattanapan, Jaturon ^{[1
,2
]}

Suksumran, Teerapong ^{[3
]}

机构：

[1] Chiang Mai Univ, Off Res Adm, Chiang Mai, Thailand

[2] Chiang Mai Univ, Fac Sci, Chiang Mai, Thailand

[3] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai, Thailand

来源：

TURKISH JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

2-Engel group; CCII group; gyrogroup; commutator-inversion invariant; topological gyrogroup;

D O I：

10.55730/1300-0098.3531

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group Gamma is said to be CCII if the quotient Gamma/Z(Gamma) is 2-Engel or, equivalently, commutator-inversion invariant, where Z(Gamma) is the center of Gamma. In this article, we prove algebraic and topological properties of gyrogroups that are induced by CCII groups. Then, using a classification of non-abelian groups of order n with n < 32 , we determine all finite CCII groups of order less than 32.

引用

页数：12

共 21 条

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