List questions from automorphism-group

Published on 14 Apr 2026 - 23:59

91

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Groups without using Sylow

Published on 10 May 2026 - 9:26

193

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Reference to extended Frucht's theorem: $\operatorname{Aut}(\Gamma)=G_1$ and $\operatorname{Aut}(\Gamma-e)=G_2$

Published on 29 Apr 2026 - 12:55

76

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Does an automorphism fix some elements?

Published on 11 Apr 2026 - 9:16

154

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Determine invariant subfield and order in $\operatorname{Aut}(L)$

Published on 16 Apr 2026 - 9:25

42

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Is $:U(R)\times R^+\longrightarrow R^+,\ (g,a)\mapsto ga:=g\cdot a$ surjective?

Published on 15 Apr 2026 - 12:34

1.1k

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$\mathrm{Aut}(\mathrm{Aut}(G))\cong\mathrm{Aut}(G)$ for $G$ a non-abelian simple group

Published on 17 Apr 2026 - 8:52

459

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Why are the Automorphisms $\text{Aut}(T_2)$ of the regular, infinite, binary rooted tree the length-preserving permutations?

Published on 16 Apr 2026 - 11:18

230

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Is non-abelian simple group complete?

Published on 10 May 2026 - 12:15

137

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Set of points with bounded orbit is closed

Published on 14 Apr 2026 - 5:45

153

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automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

Published on 10 May 2026 - 9:53

446

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Way to show automorphism of abelian group.

Published on 15 Apr 2026 - 9:51

681

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Why every automorphism of $S_3$ is inner Automorphism But This is not case with $S_6$?

Published on 15 Apr 2026 - 15:43

488

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Characteristic subgroups of normal subgroups are normal

Published on 16 Apr 2026 - 8:43

128

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How to use automorphism of Group to define automorphism of its factor group?

Published on 10 Apr 2026 - 6:31

List Question

Whe the conjugate operator in $\mathbb{C}$ is a automorphism?

Groups without using Sylow

Reference to extended Frucht's theorem: $\operatorname{Aut}(\Gamma)=G_1$ and $\operatorname{Aut}(\Gamma-e)=G_2$

Does an automorphism fix some elements?

Determine invariant subfield and order in $\operatorname{Aut}(L)$

Is $:U(R)\times R^+\longrightarrow R^+,\ (g,a)\mapsto ga:=g\cdot a$ surjective?

$\mathrm{Aut}(\mathrm{Aut}(G))\cong\mathrm{Aut}(G)$ for $G$ a non-abelian simple group

Why are the Automorphisms $\text{Aut}(T_2)$ of the regular, infinite, binary rooted tree the length-preserving permutations?

Is non-abelian simple group complete?

Set of points with bounded orbit is closed

automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

Way to show automorphism of abelian group.

Why every automorphism of $S_3$ is inner Automorphism But This is not case with $S_6$?

Characteristic subgroups of normal subgroups are normal

How to use automorphism of Group to define automorphism of its factor group?

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