On a question of Etnyre and Van Horn-Morris
Tetsuya Ito, Keiko Kawamuro

TL;DR
This paper addresses a specific open question in the study of monoids within the mapping class group, providing a definitive answer to advance understanding in this area.
Contribution
It resolves Question 6.12 from Etnyre and Van Horn-Morris's work, clarifying an important aspect of monoid structures in the mapping class group.
Findings
Question 6.12 is answered definitively.
Provides new insights into monoid properties.
Clarifies the structure of the mapping class group.
Abstract
We answer Question 6.12 in the paper "Monoids in the mapping class group" written by Etnyre and Van Horn-Morris.
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