Dual Ore's theorem on distributive intervals of finite groups

TL;DR

This paper presents a self-contained group-theoretic proof of a dual Ore's theorem, establishing a link between combinatorics and representation theory in finite groups.

Contribution

It introduces a new dual version of Ore's theorem and provides a self-contained proof connecting combinatorics and finite group representations.

Findings

Established a dual Ore's theorem for distributive intervals

Connected combinatorial properties with representation theory in finite groups

Provided a self-contained proof enhancing understanding of group intervals

Abstract

This paper gives a self-contained group-theoretic proof of a dual version of a theorem of Ore on distributive intervals of finite groups. We deduce a bridge between combinatorics and representations in finite group theory.