On the Isomorphism Problem for Central Extensions II

Authors

  • Noureddine Snanou Sidi Mohamed Ben Abdellah University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5118

Keywords:

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

Abstract

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 non-abelian. 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.

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Published

2024-04-30

Issue

Section

Nonlinear Analysis

How to Cite

On the Isomorphism Problem for Central Extensions II. (2024). European Journal of Pure and Applied Mathematics, 17(2), 956-968. https://doi.org/10.29020/nybg.ejpam.v17i2.5118