Let G be a group and let f be a function from G to some
Chapter 4, Problem 46SE(choose chapter or problem)
Let G be a group and let f be a function from G to some set. Show that \(H = \{g \in G | f (xg) = f (x)\) for all \(x \in G\}\) is a subgroup of G. In the case that G is the group of real numbers under addition and f(x) = sin x, describe H.
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