On the isomorphisms of Fourier algebras of finite abelian groups

TL;DR

This paper investigates the structural similarities of Fourier algebras associated with finite abelian groups, focusing on their isomorphisms and algebraic properties.

Contribution

It introduces a generalized notion of permutation equivalence for Vilenkin systems on finite exponent groups, expanding understanding of their algebraic relationships.

Findings

Characterization of isomorphisms between Fourier algebras

New criteria for permutation equivalence of Vilenkin systems

Insights into algebraic structure of finite abelian groups

Abstract

We consider gerenalizated permutation equivalence of Vielenkin system on commutative compact torsion finite exponent groups.