Semantic search

	Quick phrase	Defining ingredient
Category of groups		Group Homomorphism of groups
Homomorphism of algebraic groups		Homomorphism of groups
Injective homomorphism		Homomorphism of groups Trivial group
Normal subgroup	invariant under inner automorphisms, self-conjugate subgroup same left and right cosets kernel of a homomorphism subgroup that is a union of conjugacy classes	Homomorphism of groups Inner automorphism Conjugate subgroups Left coset of a subgroup Right coset of a subgroup Conjugacy class Commutator of two subgroups
Normal-homomorph-containing subgroup		Normal subgroup Homomorphism of groups
Simple group		Normal subgroup Surjective homomorphism of groups Homomorphism of groups Trivial homomorphism Subnormal subgroup Simple group operator
Surjective homomorphism of groups		Homomorphism of groups Category of groups

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