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math.CT2023
Twisted Commutators and Internal Crossed Modules
Bo Shan Deval, Tim Van der Linden
We introduce a notion of relative commutator -- an important special case being commutators twisted by an action -- as a straightforward modification of the definition of the Higgi…
math.CT2023
A universal Kaluzhnin--Krasner embedding theorem
Bo Shan Deval, Xabier García-Martínez, Tim Van der Linden
Given two groups and , the Kaluzhnin--Krasner universal embedding theorem states that the wreath product acts as a universal receptacle for extensions from to $…