List questions from automorphism-group

526

Views

What are non-canonical generators of $\hat{\mathbb{Z}}$ (resp. the absolute Galois group of a finite field)?

Published on 10 Apr 2026 - 21:14

87

Views

Automorphism group of union of varieties

Published on 12 Apr 2026 - 9:06

98

Views

Example of when $E^{H} \neq E^{\text{Aut}(E/E^H)}$?

Published on 12 Apr 2026 - 7:56

315

Views

$Aut_G(G/H)$ is isomorph to $N_G(H)/H$

Published on 15 Apr 2026 - 11:14

311

Views

Action by automorphism group of a ring $R$ on $\mathrm{Spec}(R)$

Published on 11 Apr 2026 - 20:23

300

Views

Does every finite non-trivial complete group have even order?

Published on 23 Apr 2026 - 1:16

34

Views

Proof of U(n) being automorphism of $Z_n$.

Published on 14 Apr 2026 - 3:46

604

Views

Automorphism in $U(16)$.

Published on 14 Apr 2026 - 11:58

44

Views

Actions of $C^*$-dynamical systems on primitive ideals

Published on 12 Apr 2026 - 20:53

136

Views

Automorphism group of finite $p$-group when automorphism group of its quotient is $p$-group

Published on 10 May 2026 - 12:39

148

Views

When is the automorphism group of a finite $p$-group nilpotent?

Published on 04 May 2026 - 11:50

395

Views

When is the automorphism group of a finite p-group abelian?

Published on 12 Apr 2026 - 16:12

176

Views

If $\mathbb Z/2\mathbb Z \cong S_2$, why isn't $\mathrm{Aut}(\mathbb Z/2\mathbb Z) \cong \mathrm{Aut}(S_2)$?

Published on 12 Apr 2026 - 11:40

122

Views

Is there a way to describe all finite groups $G$, such that $\operatorname{Aut}(G) = D_4$?

Published on 10 May 2026 - 12:55

230

Views

Finding isomorphism between two automorphism groups.

Published on 10 Apr 2026 - 17:57

List Question

What are non-canonical generators of $\hat{\mathbb{Z}}$ (resp. the absolute Galois group of a finite field)?

Automorphism group of union of varieties

Example of when $E^{H} \neq E^{\text{Aut}(E/E^H)}$?

$Aut_G(G/H)$ is isomorph to $N_G(H)/H$

Action by automorphism group of a ring $R$ on $\mathrm{Spec}(R)$

Does every finite non-trivial complete group have even order?

Proof of U(n) being automorphism of $Z_n$.

Automorphism in $U(16)$.

Actions of $C^*$-dynamical systems on primitive ideals

Automorphism group of finite $p$-group when automorphism group of its quotient is $p$-group

When is the automorphism group of a finite $p$-group nilpotent?

When is the automorphism group of a finite p-group abelian?

If $\mathbb Z/2\mathbb Z \cong S_2$, why isn't $\mathrm{Aut}(\mathbb Z/2\mathbb Z) \cong \mathrm{Aut}(S_2)$?

Is there a way to describe all finite groups $G$, such that $\operatorname{Aut}(G) = D_4$?

Finding isomorphism between two automorphism groups.

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