List questions from automorphism-group

523

Views

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

Published on 23 Aug 2018 - 13:03

84

Views

Automorphism group of union of varieties

Published on 29 Aug 2018 - 5:32

95

Views

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

Published on 01 Sep 2018 - 0:36

312

Views

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

Published on 02 Sep 2018 - 20:22

309

Views

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

Published on 25 Mar 2026 - 11:20

290

Views

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

Published on 17 Mar 2026 - 12:24

31

Views

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

Published on 08 Sep 2018 - 8:29

600

Views

Automorphism in $U(16)$.

Published on 08 Sep 2018 - 8:52

41

Views

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

Published on 11 Sep 2018 - 10:36

133

Views

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

Published on 25 Mar 2026 - 6:13

142

Views

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

Published on 19 Mar 2026 - 22:06

392

Views

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

Published on 22 Sep 2018 - 13:00

174

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 23 Sep 2018 - 2:50

118

Views

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

Published on 23 Sep 2018 - 13:47

227

Views

Finding isomorphism between two automorphism groups.

Published on 29 Sep 2018 - 2:38

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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