Extensions of Finite Abelian Groups

TL;DR

This paper investigates how finite abelian groups can be extended using matrix methods and establishes a theorem for their equivalence, enhancing understanding of their structural relationships.

Contribution

It introduces a matrix-based approach to study extensions of finite abelian groups and proves a theorem for their equivalence.

Findings

Matrix methods effectively classify group extensions.

Theorem provides criteria for extension equivalence.

Results facilitate analysis of finite abelian group structures.

Abstract

We study group extensions of Finite Abelian Groups using matrices. We also prove a Theorem for equivalence of extensions using matrices.