Exercise 3.5.6 Show that if H is a normal subgroup of G, then the map n:G→ G/H defined by T(g) = gH is an onto group homomorphism. This map is often called the natural projection of G onto G/H.

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Chapter2: Second-order Linear Odes
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Problem 1RQ
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3.5.6

Exercise 3.5.6 Show that if H is a normal subgroup of G, then the map : G→ G/H
defined by T(g) = gH is an onto group homomorphism. This map is often called the natural
projection of G onto G/H.
Transcribed Image Text:Exercise 3.5.6 Show that if H is a normal subgroup of G, then the map : G→ G/H defined by T(g) = gH is an onto group homomorphism. This map is often called the natural projection of G onto G/H.
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