~We give an elementary proof of a relation, first discovered in its full generality by Korkmaz, in the mapping class group of a closed orientable surface. Our proof uses only the well-known relations between Dehn twists.
Mapping class groups, braid relation, chain relation
DALYAN, ELİF; MEDETOĞULLARI, ELİF; and PAMUK, MEHMETCİK
"A note on the generalized Matsumoto relation,"
Turkish Journal of Mathematics: Vol. 41:
3, Article 6.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss3/6