Let g be a finite group and let f in Aut(G) with all g in G, f(g)=g iff g=e Show that all g in G, there exist a in G s.t. g=a^(-1).f(a)
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Originally Posted by mathemanyak Let g be a finite group and let f in Aut(G) with all g in G, f(g)=g iff g=e Show that all g in G, there exist a in G s.t. g=a^(-1).f(a) let and suppose that for some then and thus i.e. thus think about this: do we really need to be an automorphism or being homomorphism is enough?
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