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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, , and a homomorphism of groups that is equivariant with respect to the conjugation action of G on itself: and also satisfies the so-called :

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  • 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, , and a homomorphism of groups that is equivariant with respect to the conjugation action of G on itself: and also satisfies the so-called : (en)
  • 군론과 대수적 위상수학에서 교차 가군(交叉加群, 영어: crossed module)은 2-군의 데이터를 담고 있는 대수적 구조이다. 구체적으로, 서로 군 준동형 및 작용을 갖는 두 군으로 구성된다. (ko)
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  • crossed+module (en)
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  • crossed module (en)
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  • 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, , and a homomorphism of groups that is equivariant with respect to the conjugation action of G on itself: and also satisfies the so-called : (en)
  • 군론과 대수적 위상수학에서 교차 가군(交叉加群, 영어: crossed module)은 2-군의 데이터를 담고 있는 대수적 구조이다. 구체적으로, 서로 군 준동형 및 작용을 갖는 두 군으로 구성된다. (ko)
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  • Crossed module (en)
  • 교차 가군 (ko)
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