# automorphism

A) A subgroup N of a group is said to be characteristic if f(N) is contained in N for every automorphism f of G. Prove that every characteristic subgroup is normal.

b) Prove that the converse is false.

© BrainMass Inc. brainmass.com October 10, 2019, 2:22 am ad1c9bdddfhttps://brainmass.com/math/linear-transformation/characteristic-group-automorphism-373911

#### Solution Summary

Characteristic groups are assessed clearly.

$2.19