Mathematics, 13.07.2019 05:20 kkmoney87

If g is a group, then a subgroup h is called characteristic if whenever ø : g -> g is an automorphism, ø(h) = h. prove that a characteristic subgroup is a normal subgroup. the opposite is not true in general. give an example of a group and a proper characteristic subgroup (hint: think about cyclic groups, or the center of a group)

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If g is a group, then a subgroup h is called characteristic if whenever ø : g -> g is an automo...