Question

Automorphism of direct product of rings

score 145 · Answer 1 · 2026-03-28 04:53:21

145

Views

Automorphism of direct product of rings

Published on 28 Mar 2026 - 4:53

score 21 · Answer 2 · 2020-11-21 13:18:02

21

Views

Automorphisms of a structure of non-zero rational numbers with multiplication

Published on 21 Nov 2020 - 13:18

score 169 · Answer 3 · 2020-11-21 13:34:41

169

Views

Why there are only 3 automorphisms of $\mathbb F_3 [X] / (x^3 + 2x -1)$?

Published on 21 Nov 2020 - 13:34

score 306 · Answer 4 · 2020-11-21 14:07:51

306

Views

Showing that every automorphism of $S_3$ is a conjugation without using the orders of the elements

Published on 21 Nov 2020 - 14:07

score 128 · Answer 5 · 2020-11-21 16:38:19

128

Views

Lie algebra of the automorphism group of an arbitrary Lie Algebra?

Published on 21 Nov 2020 - 16:38

score 25 · Answer 6 · 2026-03-28 04:34:55

25

Views

Automorphism of $\mathbb{F}_p[x]/(\Phi_r(x))$

Published on 28 Mar 2026 - 4:34

score 51 · Answer 7 · 2020-11-24 01:28:00

51

Views

Supose $N$ is a normal subgroup of order $p^n$. Then show that $\sigma (N)=N$

Published on 24 Nov 2020 - 1:28

score 488 · Answer 8 · 2020-11-27 15:48:46

488

Views

Is there a group $G$ for which $\mathrm{Aut}(G) \simeq (\mathbb{R},+)$?

Published on 27 Nov 2020 - 15:48

score 208 · Answer 9 · 2020-11-27 18:02:43

208

Views

${\rm Aut}(S_4)$ are all inner automorphisms.

Published on 27 Nov 2020 - 18:02

score 139 · Answer 10 · 2020-11-30 09:31:37

139

Views

If $A$ is a subgroup of $B$, just it hold that $\text{Aut}(A)$ is a subgroup of $\text{Aut}(B)$?

Published on 30 Nov 2020 - 9:31

score 264 · Answer 11 · 2026-03-28 06:40:38

264

Views

Automorphism group of direct product of groups, proof

Published on 28 Mar 2026 - 6:40

score 191 · Answer 12 · 2020-12-02 12:47:55

191

Views

Can I get ${\rm{Inn}}(S_3)={\rm{Aut}}(S_3)$ from $\varphi\in{\rm{Aut}}(S_3)$ being equivalent to a faithful transitive action of $S_3$ on $\{1,2,3\}$?

Published on 02 Dec 2020 - 12:47

score 201 · Answer 13 · 2020-12-03 06:24:22

201

Views

Definition of trace and norm functions of an automorphism on an associative algebras.

Published on 03 Dec 2020 - 6:24

score 58 · Answer 14 · 2020-12-08 12:30:21

58

Views

Is every finite connected set equipped with a binary relation of the form Aut(X)\X?

Published on 08 Dec 2020 - 12:30

score 80 · Answer 15 · 2026-03-30 09:54:07

80

Views

If $K$ is a normal subgroup of $G$ with $Z(K)=1$, then $G$ splits over $K$, iff $\operatorname{Aut}(K)$ splits over $\operatorname{Inn}(K)$

Published on 30 Mar 2026 - 9:54

List Question

Automorphism of direct product of rings

Automorphisms of a structure of non-zero rational numbers with multiplication

Why there are only 3 automorphisms of $\mathbb F_3 [X] / (x^3 + 2x -1)$?

Showing that every automorphism of $S_3$ is a conjugation without using the orders of the elements

Lie algebra of the automorphism group of an arbitrary Lie Algebra?

Automorphism of $\mathbb{F}_p[x]/(\Phi_r(x))$

Supose $N$ is a normal subgroup of order $p^n$. Then show that $\sigma (N)=N$

Is there a group $G$ for which $\mathrm{Aut}(G) \simeq (\mathbb{R},+)$?

${\rm Aut}(S_4)$ are all inner automorphisms.

If $A$ is a subgroup of $B$, just it hold that $\text{Aut}(A)$ is a subgroup of $\text{Aut}(B)$?

Automorphism group of direct product of groups, proof

Can I get ${\rm{Inn}}(S_3)={\rm{Aut}}(S_3)$ from $\varphi\in{\rm{Aut}}(S_3)$ being equivalent to a faithful transitive action of $S_3$ on $\{1,2,3\}$?

Definition of trace and norm functions of an automorphism on an associative algebras.

Is every finite connected set equipped with a binary relation of the form Aut(X)\X?

If $K$ is a normal subgroup of $G$ with $Z(K)=1$, then $G$ splits over $K$, iff $\operatorname{Aut}(K)$ splits over $\operatorname{Inn}(K)$

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