Find a composition series for the quaternion group
1. What is a composition series for groups? Find a composition series for the quaternion group Q.2. A subgroup, H, of a group, G, is called characteristic if ?(H) = H for all automorphisms,? , of G. Show that characteristic implies normal.
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A subgroup, H, of a group, G, is called characteristic if ?(H) = H for all automorphisms,? , of G. Show that characteristic implies normal.
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