On the isomorphism problem for central extensions II

被引：0

作者：

Snanou, Noureddine ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Fes, Morocco

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 02期

关键词：

Central extension; Isomorphism problem; Lower isomorphic; Upper isomorphic; (G)-isomorphic;

D O I：

10.29020/nybg.ejpam.v17i2.5118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the isomorphism problem for central extensions. More precisely, in some new situations, we provide necessary and sufficient conditions for two central extensions to be isomorphic. We investigate the case when the quotient group is simple or purely nonab elian. Furthermore, we characterize isomorphisms leaving the quotient group invariant. Finally, we deal with isomorphisms of central extensions where the kernel group and the quotient group are isomorphic.

引用

页码：956 / 968

页数：13

共 12 条

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