Groupoids: Direct products, semidirect products and solvability

被引：0

作者：

Marin, V. ^{[1
]}

Pinedo, H. ^{[2
]}

机构：

[1] Univ Tolima, Dept Matemat & Estadist, Santa Helena Ibague, Colombia

[2] Univ Ind Santander, Escuela Matemat, Cra 27 Calle 9 UIS Edificio 45, Bucaramanga, Colombia

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2022年 / 33卷 / 02期

关键词：

groupoid; direct product; product; semidirect product; solvable    PARTIAL REPRESENTATIONS;

D O I：

10.12958/adm1772

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some constructions of groupoids such as: direct product, semidirect product and give necessary and suffi-cient conditions for a groupoid to be embedded into a direct product of groupoids. Also, we establish necessary and sufficient conditions to determine when a semidirect product is direct. Finally the notion of solvable groupoid is introduced and studied, in particular it is shown that a finite groupoid G is solvable if and only if its isotropy groups are.

引用

页码：92 / 107

页数：16

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