# On right conjugacy closed loops of twice prime order

## TL;DR

This paper classifies right conjugacy closed loops of order 2p, with p an odd prime, providing a comprehensive understanding of their structure up to isomorphism.

## Contribution

It offers the first complete classification of right conjugacy closed loops of order 2p for odd prime p, expanding the algebraic theory of loops.

## Key findings

- Complete classification of right conjugacy closed loops of order 2p
- Identification of isomorphism classes for these loops
- Structural properties of the classified loops

## Abstract

The right conjugacy closed loops of order 2p, where p is an odd prime, are classified up to isomorphism.