A note on the structure of V(6) maps

TL;DR

This paper clarifies and elaborates on Theorem 13 from a previous work, providing detailed explanations to make the theorem more accessible and understandable.

Contribution

It offers detailed restatements and explanations of a key theorem related to V(6) maps, enhancing clarity for future research.

Findings

Provides detailed proof and clarification of Theorem 13

Makes complex theorem more accessible to researchers

Supports further studies in small-cancellation groups

Abstract

The purpose of this note is make Theorem 13 in the article "On Biautomaticity of Non-Homogenous Small-Cancellation Groups" more accessible. Restatements of the theorem already appeared in few of the authors' succeeding works but with no details. We wish in this note to give the necessary details to these restatements.