Crossed module

In mathematics, and especially in homotopy theory, a crossed module consists of groups G and H, where G acts on H by automorphisms (which we will write on the left, $(g,h) \mapsto g \cdot h$ ), and a homomorphism of groups

that is equivariant with respect to the conjugation action of G on itself:

单词	Crossed module
释义	Crossed module 英语百科 Crossed module In mathematics, and especially in homotopy theory, a crossed module consists of groups G and H, where G acts on H by automorphisms (which we will write on the left, $(g,h) \mapsto g \cdot h$ ), and a homomorphism of groups that is equivariant with respect to the conjugation action of G on itself:
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