Groups and FieldsEasyHomomorphisms and Isomorphisms ShareHomomorphisms and Isomorphisms · Easy problemFor the sign homomorphism sgn:S4→{1,−1}\operatorname{sgn}: S_4 \to \{1,-1\}sgn:S4→{1,−1}, how many elements does ker(sgn)\ker(\operatorname{sgn})ker(sgn) have?Check Show answer Walk through it step by step Practice more like this Review this concept