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Automorphism group of an amalgamatea free product

Suppose that $G$ and $H$ are groups (not isomorphic) and $G\ast H$ the amalgamate productfree product. Let $Aut(G)$, $Aut(H)$ be the automorphism groups of $G$ and $H$. What is $Aut(G\ast H)$ ?

Automorphism group of an amalgamate product

Suppose that $G$ and $H$ are groups (not isomorphic) and $G\ast H$ the amalgamate product. Let $Aut(G)$, $Aut(H)$ be the automorphism groups of $G$ and $H$. What is $Aut(G\ast H)$ ?

Automorphism group of a free product

Suppose that $G$ and $H$ are groups (not isomorphic) and $G\ast H$ the free product. Let $Aut(G)$, $Aut(H)$ be the automorphism groups of $G$ and $H$. What is $Aut(G\ast H)$ ?

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Ofra
  • 1.6k
  • 1
  • 14
  • 26

Automorphism group of an amalgamate product

Suppose that $G$ and $H$ are groups (not isomorphic) and $G\ast H$ the amalgamate product. Let $Aut(G)$, $Aut(H)$ be the automorphism groups of $G$ and $H$. What is $Aut(G\ast H)$ ?