Isomorphisms of groups of periodic infinite matrices

TL;DR

This paper characterizes the structure of isomorphisms between groups of periodic infinite matrices and invertible elements in unital locally matrix algebras, revealing their algebraic relationships.

Contribution

It provides a detailed description of the isomorphisms in these matrix groups, advancing understanding of their algebraic structure and classification.

Findings

Classification of isomorphisms between groups of periodic infinite matrices

Identification of isomorphisms of invertible elements in unital locally matrix algebras

New insights into the algebraic structure of these matrix groups

Abstract

We describe isomorphisms of groups of several periodic infinite matrices and isomorphisms of groups of invertible elements of unital locally matrix algebras.