nLab wreath product

Of groups:

• wreath product of groups

• categorical wreath product

Of monads:

• wreath product of wreaths due to Lack and Street, where a wreath (in a 2-category) is, in some sense, a generalization of Beck’s distributive laws

• weak wreath product of weak wreaths due to Street and Böhm, where a weak wreath (in a 2-category) is to a wreath what a weak distributive law is to a distributive law (i.e. replace unitality with something weaker)

References

• Stephen Lack, Ross Street, The formal theory of monads II, Journal of Pure and Applied Algebra 175 1–3 (2002) 243–265 [doi:10.1016/S0022-4049(02)00137-8]

• Gabriella Böhm, The weak theory of monads, Adv. in Math. 225:1 (2010) 1–32 doi

• Ross Street, Weak distributive laws, Theory and Appl. of Categ. 22 (2009) 313–320 [tac:22-12]