List questions from automorphism-group

Published on 23 Jan 2021 - 5:36

50

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Under what conditions does every automorphism of a finite extension restrict to a base field automorphism?

Published on 24 Jan 2021 - 15:44

96

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Does every automorphism of a field of fractions restrict to the original ring?

Published on 25 Jan 2021 - 6:28

85

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A different group associated with a Lie algebra

Published on 25 Jan 2021 - 6:33

493

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Definition of Frobenius automorphism

Published on 30 Mar 2026 - 5:32

316

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If $X$ is a set, what does $S(X) = \{f\colon X \to X | \text{where f is a bijection}\}$ mean?

Published on 30 Jan 2021 - 12:49

149

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Proving that $|\operatorname{Aut}(C_n)|=2n$.

Published on 31 Mar 2026 - 11:25

64

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Group homomorphism between $\mathbb{Z}_2$ and ${\rm Aut}(G)$.

Published on 04 Feb 2021 - 3:50

56

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Determining an automorphism, when a composition of two automorphisms and the other automorphism is given

Published on 04 Feb 2021 - 11:28

64

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Graph Automorphism

Published on 04 Feb 2021 - 14:47

72

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Automorphism on 2-sphere

Published on 05 Feb 2021 - 20:24

63

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Power automorphism

Published on 09 Feb 2021 - 3:58

50

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If $M$ is a monomial matrix with entries only from ${0,-1,1}$, then $C$ is self dual if and only if $CM$ is self dual.

Published on 12 Feb 2021 - 15:31

58

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How to show that $\mbox{MAut}(\mathcal{C})$ and $\gamma\mbox{Aut}(\mathcal{C})$ are groups?

Published on 13 Feb 2021 - 14:30

93

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Is it always true that $Aut_F(H_0) \cong Aut_F(H_1)$?

Published on 16 Feb 2021 - 13:54

List Question

If G is a group and $|Aut(G)|=1$then prove G’=(e)

Under what conditions does every automorphism of a finite extension restrict to a base field automorphism?

Does every automorphism of a field of fractions restrict to the original ring?

A different group associated with a Lie algebra

Definition of Frobenius automorphism

If $X$ is a set, what does $S(X) = \{f\colon X \to X | \text{where f is a bijection}\}$ mean?

Proving that $|\operatorname{Aut}(C_n)|=2n$.

Group homomorphism between $\mathbb{Z}_2$ and ${\rm Aut}(G)$.

Determining an automorphism, when a composition of two automorphisms and the other automorphism is given

Graph Automorphism

Automorphism on 2-sphere

Power automorphism

If $M$ is a monomial matrix with entries only from ${0,-1,1}$, then $C$ is self dual if and only if $CM$ is self dual.

How to show that $\mbox{MAut}(\mathcal{C})$ and $\gamma\mbox{Aut}(\mathcal{C})$ are groups?

Is it always true that $Aut_F(H_0) \cong Aut_F(H_1)$?

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