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Vijay Singh chauhan Asked a Question
October 21, 2020 3:10 pm 30 pts
Which one is false? 1 point Automorphism is an isomorphism inner automorphism is an automorphism inner automorphism is an isomorphism automorphism is an inner automorphism 1 point Suppose that o is an isomorphism from a group G onto a group G'. Which one is false? (a) For every integer n and for every group element a E G, o(a")=[o(a) (6) For any elements a, bE G, a and b commute if and only if o(a) and o(b) commute. (C) G= (a) if and only if G = (o(a). (d) a le(a) for all a inG. O A OB Oc O D
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• Shashi ranjan sinha
automorphism need not necessarily to be inner automorphism, so d is false