Let $G$ be an abelian (not elementary) finite $p$-group. I think that In what conditions the automorphism group of $G$ is solvable. Is this claim true?If the answer is yes, give me a reference or guide me to prove it.
Let $G$ be an abelian (not elementary) finite $p$-group. I think that the automorphism group of $G$ is solvable. Is this claim true? If the answer is yes, give me a reference or guide me to prove it.