Newbetuts

Give an example of a non abelian group $G$ and a subgroup $H\subset Z(G) $(proper subgroup) such that $H$ is not characteristic subgroup of $G$

$\operatorname{Aut}(G)\cong \Bbb{Z}/8\Bbb{Z}$

Must large (infinite) groups have large automorphism groups?

Non-trivial automorphisms that fix maximal subgroups?

Showing that a cyclic automorphism group makes a finite group abelian

What if an automorphism fixes every maximal subgroup pointwise. Is it then the identity? [closed]

Show that if $ \gcd(|G|,|H|) = 1 $, then $ \text{Aut}(G \times H) \cong \text{Aut}(G) \times \text{Aut}(H) $.

There does not exist group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_n$ (for odd $n$)

Subfield fixed points and corresponding rational field

Conformal automorphism of unit disk that interchanges two given points

Proving that ${\rm Aut}(S_3)$ is isomorphic to $S_3$

Automorphism group of direct product of groups

On automorphisms of groups which extend as automorphisms to every larger group

Groups with given automorphism groups

Prove that $Z(\operatorname{Aut}(G))=\{e\}$, if $Z(G) =\{e\}$.

If $G$ is centerless, so is $\operatorname{Aut}(G)$ [duplicate]

New posts in automorphism-group

Inner automorphism group as the kernel of a homomorphism

What is the inverse of an inner automorphism?

A question on Automorphism on Galois Theory [duplicate]

Why is conjugacy as an equivalence relation special in groups?

Give an example of a non abelian group $G$ and a subgroup $H\subset Z(G) $(proper subgroup) such that $H$ is not characteristic subgroup of $G$

$\operatorname{Aut}(G)\cong \Bbb{Z}/8\Bbb{Z}$

Must large (infinite) groups have large automorphism groups?

Non-trivial automorphisms that fix maximal subgroups?

Showing that a cyclic automorphism group makes a finite group abelian

What if an automorphism fixes every maximal subgroup pointwise. Is it then the identity? [closed]

Show that if $ \gcd(|G|,|H|) = 1 $, then $ \text{Aut}(G \times H) \cong \text{Aut}(G) \times \text{Aut}(H) $.

There does not exist group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_n$ (for odd $n$)

Subfield fixed points and corresponding rational field

Conformal automorphism of unit disk that interchanges two given points

Proving that ${\rm Aut}(S_3)$ is isomorphic to $S_3$

Automorphism group of direct product of groups

On automorphisms of groups which extend as automorphisms to every larger group

Groups with given automorphism groups

Prove that $Z(\operatorname{Aut}(G))=\{e\}$, if $Z(G) =\{e\}$.

If $G$ is centerless, so is $\operatorname{Aut}(G)$ [duplicate]