Question

Finding automorphism group for finite fields

score 92 · Answer 1 · 2020-04-01 21:44:53

92

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Finding automorphism group for finite fields

Published on 01 Apr 2020 - 21:44

score 67 · Answer 2 · 2020-04-02 01:32:42

67

Views

Automorphism of $\mathcal{M}_n(\mathbb{C})^r$

Published on 02 Apr 2020 - 1:32

score 23 · Answer 3 · 2026-03-25 06:35:46

23

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Image of a finite set in $\mathbb{P}^1$ under automorphism

Published on 25 Mar 2026 - 6:35

score 172 · Answer 4 · 2020-04-09 17:24:48

172

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Understanding Automorphism in Galois for Beginners by John Stillwell

Published on 09 Apr 2020 - 17:24

score 110 · Answer 5 · 2026-03-28 09:34:17

110

Views

Consider the map $\psi : G \rightarrow Aut(G)$ given by $\psi(g) = \phi_{g}.$ Prove that $\psi$ is a homomorphism

Published on 28 Mar 2026 - 9:34

score 109 · Answer 6 · 2026-03-25 03:03:50

109

Views

Automorphism group of poset of models of Peano Arithmetic.

Published on 25 Mar 2026 - 3:03

score 38 · Answer 7 · 2020-04-17 20:38:44

38

Views

If $L/K$ is a field extension, is $\text{Aut}(K)$ a normal subgroup of $\text{Aut}(L)$?

Published on 17 Apr 2020 - 20:38

score 632 · Answer 8 · 2026-03-28 14:44:11

632

Views

Calculation of the fixed field of a subgroup of a Galois group

Published on 28 Mar 2026 - 14:44

score 34 · Answer 9 · 2020-04-19 01:19:25

34

Views

Let $G$ be group and $f:G\rightarrow G$ be automorphism. If $Z$ be centralizer group, prove that $f(z)=Z$.

Published on 19 Apr 2020 - 1:19

score 22 · Answer 10 · 2020-04-21 14:20:37

22

Views

Equivalent definitions of $C^*$-systems.

Published on 21 Apr 2020 - 14:20

score 69 · Answer 11 · 2020-04-22 15:50:11

69

Views

Prove $\text{Inn}(\mathbb{Q_8}) \cong \mathbb{Q_8}/ Z(\mathbb{Q_8})$

Published on 22 Apr 2020 - 15:50

score 126 · Answer 12 · 2020-04-24 12:06:28

126

Views

Automorphism group of $F$, where $F$ is the quotient field of the integral domain $R=\Bbb Z[x]/(x^3+x+1)$

Published on 24 Apr 2020 - 12:06

score 44 · Answer 13 · 2020-04-28 10:47:04

44

Views

Automorphism of finite extensions $\mathbb{Q} \subset K$

Published on 28 Apr 2020 - 10:47

score 221 · Answer 14 · 2020-04-30 22:04:54

221

Views

Let $|G|=n,m\in\Bbb Z$ with $\gcd(m,n)=1$. Let $\sigma:G\to G$ be $\sigma(g)=g^{m}\forall g\in G$. If $G$ is abelian, then $\sigma\in{\rm Aut}(G)$.

Published on 30 Apr 2020 - 22:04

score 634 · Answer 15 · 2020-05-01 11:54:55

634

Views

The Galois group ${\rm Gal}(\Bbb C/\Bbb Q) ({\rm Aut}(\Bbb C/\Bbb Q)).$

Published on 01 May 2020 - 11:54

List Question

Finding automorphism group for finite fields

Automorphism of $\mathcal{M}_n(\mathbb{C})^r$

Image of a finite set in $\mathbb{P}^1$ under automorphism

Understanding Automorphism in Galois for Beginners by John Stillwell

Consider the map $\psi : G \rightarrow Aut(G)$ given by $\psi(g) = \phi_{g}.$ Prove that $\psi$ is a homomorphism

Automorphism group of poset of models of Peano Arithmetic.

If $L/K$ is a field extension, is $\text{Aut}(K)$ a normal subgroup of $\text{Aut}(L)$?

Calculation of the fixed field of a subgroup of a Galois group

Let $G$ be group and $f:G\rightarrow G$ be automorphism. If $Z$ be centralizer group, prove that $f(z)=Z$.

Equivalent definitions of $C^*$-systems.

Prove $\text{Inn}(\mathbb{Q_8}) \cong \mathbb{Q_8}/ Z(\mathbb{Q_8})$

Automorphism group of $F$, where $F$ is the quotient field of the integral domain $R=\Bbb Z[x]/(x^3+x+1)$

Automorphism of finite extensions $\mathbb{Q} \subset K$

Let $|G|=n,m\in\Bbb Z$ with $\gcd(m,n)=1$. Let $\sigma:G\to G$ be $\sigma(g)=g^{m}\forall g\in G$. If $G$ is abelian, then $\sigma\in{\rm Aut}(G)$.

The Galois group ${\rm Gal}(\Bbb C/\Bbb Q) ({\rm Aut}(\Bbb C/\Bbb Q)).$

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