On correspondence between right near-domains and sharply 2-transitive groups

TL;DR

This paper establishes a correspondence between a generalized algebraic structure called right near-domains and sharply 2-transitive groups, expanding the understanding of their relationship.

Contribution

It constructs a correspondence between a class of right near-domains and sharply 2-transitive groups, broadening the algebraic framework connecting these structures.

Findings

Established a correspondence between right near-domains and sharply 2-transitive groups.

Extended the class of near-domains by loosening axioms.

Provided new insights into the algebraic structure of sharply 2-transitive groups.

Abstract

The right near-domain is defined to loosen near-domain axioms. Correspondence of a class of the right near-domains and a class of sharply 2--transitive groups is constructed.