3 papers
math.CT2026
Kaluzhnin--Krasner embedding of precrossed modules
Maxime Culot, Bo Shan Deval
The Kaluzhnin--Krasner embedding establishes that, for a group extension, the middle group can be embedded into the wreath product of its kernel and cokernel. Recently, this constr…
math.CT2026
Projective crossed modules in semi-abelian categories
Maxime Culot
We characterize projective objects in the category of internal crossed modules within any semi-abelian category. When this category forms a variety of algebras, the internal crosse…
math.CT2025
Non-additive derived functors via chain resolutions
Maxime Culot, Fara Renaud, Tim Van der Linden
Let be a functor from a category to a homological (Borceux-Bourn) or semi-abelian (Janelidze-Márki-Tholen) category $\mathcal{E…