由中心商为 2-Engel 的群诱导的陀螺群的性质

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI:10.55730/1300-0098.3531

Jaturon Wattanapan, T. Suksumran

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引用次数: 0

摘要

:如果商 Γ /Z (Γ)是 2 -Engel 或等价于换元-反转不变，其中 Z (Γ)是 Γ 的中心，则称Γ 为 CCII 群。在本文中，我们证明了由 CCII 群诱导的陀螺群的代数和拓扑性质。然后，通过对 n < 32 的非阿贝尔阶群的分类，我们确定了所有阶数小于 32 的有限 CCII 群。

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

: A group Γ is said to be CCII if the quotient Γ /Z (Γ) is 2 -Engel or, equivalently, commutator-inversion invariant, where Z (Γ) is the center of Γ . 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 .

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.