Let H ≤ G, and g ∈ G, Define f : H → gHg^−1 by h...

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Let H ≤ G, and g ∈ G, Define f : H → gHg^−1 by h...

Let H ≤ G, and g ∈ G, Define f : H → gHg^−1 by h → ghg^−1 . Show that f is an isomorphism. Hence |gHg^−1 | = |H|.

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Answer 1

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