SOLUTION: Let H be a subgroup of G. Show that H is normal if and only
if ghg−1 ∈ H for every g ∈ G, h ∈ H. Another way of writing
this is: gHg−1 = H for every g ∈ G.
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-> SOLUTION: Let H be a subgroup of G. Show that H is normal if and only
if ghg−1 ∈ H for every g ∈ G, h ∈ H. Another way of writing
this is: gHg−1 = H for every g ∈ G.
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Question 1158368: Let H be a subgroup of G. Show that H is normal if and only
if ghg−1 ∈ H for every g ∈ G, h ∈ H. Another way of writing
this is: gHg−1 = H for every g ∈ G. Answer by ikleyn(52748) (Show Source):