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MATH 425 Exam 3

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MATH 425 Exam 3

MATH 425 Exm 3
MATH 425 Exm 3

MATH 425 Exam 3 Group Closed, Associative, Identity, Inverse One-to-one If f(x)=f(y), then x=y Onto For any element in the codomain, there is an element in the domain that maps to it Homomorphism Function that satisfies the property upphi(xy) = upphi(x) upphi(y) Isomorphism Homomorphism Property, One-to-one, Onto Kernel Set of all elements in the domain that map to the identity in the codomain Factor Group Thm: Let Phi : G xrightarrow{}[] G' be a group homom...

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