Let N be a normal subgroup of the group G. (a) Show that every inner automorphism...

Let N be a normal subgroup of the group G.

(a) Show that every inner automorphism of G defines an automorphism of N.
(b) Give an example of a group G with a normal subgroup N and an automorphism of N that is not defined by an inner automorphism of G

Expert Solution

Colby Messinger answered 1 year ago

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Let N be a normal subgroup of the group G. (a) Show that every inner automorphism...

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