In this work, we construct a relationship between matched pairs and triples of groupoids. Given two 3-groupoids with a common edge, we construct a triple groupoid by using the matched pairs actions.
Triple groupoid, matched pairs, matched triple
YILMAZ, KORAY and ULUALAN, ERDAL
"Construction of higher groupoids via matched pairs actions,"
Turkish Journal of Mathematics: Vol. 43:
3, Article 31.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/31