Cyclic groups are CI-groups for balanced configurations

TL;DR

This paper proves that all finite cyclic groups have the CI-property specifically for balanced configurations, advancing understanding of symmetry and isomorphism in combinatorial structures.

Contribution

It establishes that cyclic groups are CI-groups within the context of balanced configurations, a new result in algebraic combinatorics.

Findings

Finite cyclic groups satisfy the CI-property for balanced configurations.

The result extends the class of known CI-groups in combinatorics.

Provides a foundation for further research on symmetry in combinatorial designs.

Abstract

In this paper it is shown that every finite cyclic group satisfies the CI-property for the class of balanced configurations.