Question

$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.

score 16.7k · Answer 1 · 2012-08-24 14:55:22

16.7k

Views

$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.

Published on 24 Aug 2012 - 14:55

score 20.9k · Answer 2 · 2012-09-14 23:05:41

20.9k

Views

Automorphism group of the quaternion group

Published on 14 Sep 2012 - 23:05

score 397 · Answer 3 · 2026-03-26 01:14:34

397

Views

Is it true that if $\mathrm{Aut}(G)$ is nilpotent then $G$ is also nilpotent?

Published on 26 Mar 2026 - 1:14

score 40.7k · Answer 4 · 2012-12-30 22:23:59

40.7k

Views

Order of automorphism group of cyclic group

Published on 30 Dec 2012 - 22:23

score 62 · Answer 5 · 2026-03-29 21:02:46

62

Views

Determine $\operatorname{Aut}_{\mathbb{Q}}L$ for $L = \mathbb{Q}[u]$, where $u$ is a root of $x^3 - 3x^2 + 3$

Published on 29 Mar 2026 - 21:02

score 75 · Answer 6 · 2020-08-05 03:29:18

75

Views

Can a non-inner automorphism map every subgroup to its conjugate?

Published on 05 Aug 2020 - 3:29

score 95 · Answer 7 · 2020-08-05 07:03:41

95

Views

Is there a finite group which has two isomorphic maximal subgroups such that no automorphism can map one to the other?

Published on 05 Aug 2020 - 7:03

score 36 · Answer 8 · 2020-08-05 11:01:48

36

Views

Relation between an Abelian subgroup of a group and center of the group.

Published on 05 Aug 2020 - 11:01

score 164 · Answer 9 · 2026-03-26 08:03:33

164

Views

Structure of the automorphism group of a group

Published on 26 Mar 2026 - 8:03

score 1k · Answer 10 · 2026-03-28 14:05:29

1k

Views

Prove $\text{Aut}(Q_8)$ is isomorphic to $S_4$ using presentation of groups

Published on 28 Mar 2026 - 14:05

score 51 · Answer 11 · 2026-03-26 12:40:19

51

Views

Adjoint mapping for matrices

Published on 26 Mar 2026 - 12:40

score 77 · Answer 12 · 2020-08-12 11:49:38

77

Views

Embedding Johnson Graph in $\mathbb{R}^2$

Published on 12 Aug 2020 - 11:49

score 91 · Answer 13 · 2020-08-13 15:34:23

91

Views

Compute the Group of Automorphisms of the Abelian Group $\mathbb{Q}^n$

Published on 13 Aug 2020 - 15:34

score 224 · Answer 14 · 2020-08-26 19:28:38

224

Views

Are there any differences between $\textrm{Aut}(G)$ and $\textrm{Sym}(G)$ for a group $G$, or are the two notations synonymous?

Published on 26 Aug 2020 - 19:28

score 203 · Answer 15 · 2020-08-29 06:02:39

203

Views

What is the holomorphic automorphism group of $\mathbb{C}\backslash\left\{0\right\}$

Published on 29 Aug 2020 - 6:02

List Question

$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.

Automorphism group of the quaternion group

Is it true that if $\mathrm{Aut}(G)$ is nilpotent then $G$ is also nilpotent?

Order of automorphism group of cyclic group

Determine $\operatorname{Aut}_{\mathbb{Q}}L$ for $L = \mathbb{Q}[u]$, where $u$ is a root of $x^3 - 3x^2 + 3$

Can a non-inner automorphism map every subgroup to its conjugate?

Is there a finite group which has two isomorphic maximal subgroups such that no automorphism can map one to the other?

Relation between an Abelian subgroup of a group and center of the group.

Structure of the automorphism group of a group

Prove $\text{Aut}(Q_8)$ is isomorphic to $S_4$ using presentation of groups

Adjoint mapping for matrices

Embedding Johnson Graph in $\mathbb{R}^2$

Compute the Group of Automorphisms of the Abelian Group $\mathbb{Q}^n$

Are there any differences between $\textrm{Aut}(G)$ and $\textrm{Sym}(G)$ for a group $G$, or are the two notations synonymous?

What is the holomorphic automorphism group of $\mathbb{C}\backslash\left\{0\right\}$

Trending Questions

Popular # Hahtags

Popular Questions