List questions from automorphism-group

Published on 18 Nov 2019 - 4:02

260

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Prove or disprove: The automorphism group of a finite cyclic group must be cyclic.

Published on 18 Nov 2019 - 4:21

919

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Automorphism Group isomorphic to $\mathbb{Z}_n$

Published on 19 Nov 2019 - 5:04

44

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On marginal subgroups and automorphisms

Published on 23 Feb 2026 - 3:54

486

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Galois They $Aut(K/F) \leq [K:F] < \infty$

Published on 21 Nov 2019 - 4:06

59

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A variation on Keller's theorem

Published on 23 Nov 2019 - 17:39

114

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The orbits of the action of ${\rm Aut}(D_4)$ on $D_4$.

Published on 28 Mar 2026 - 13:21

118

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Homogeneous principal G-set and its group of automorphisms

Published on 28 Mar 2026 - 13:28

47

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How many symmetries can a countable set $\mathfrak X\subset\Bbb R^d$ have?

Published on 26 Mar 2026 - 4:32

116

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Constructing infinitely many automorphisms of a free group on two generators to itself

Published on 26 Mar 2026 - 8:04

117

Views

Isomorphisms between the automorphism group and edge automorphism group of complete graphs

Published on 01 Dec 2019 - 20:01

259

Views

Group $G$ such that $|G| = 385$

Published on 27 Mar 2026 - 16:37

143

Views

Prove that there does not exist group $G$ such that ${\rm Aut}(G)\cong \Bbb Z.$

Published on 03 Dec 2019 - 0:58

73

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$ Aut(G) = \langle Aut(G)_x, Aut(G)_e\rangle$ in a connected and arc-transitive graph

Published on 03 Dec 2019 - 15:03

166

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Torsion groups with every element conjugate to its $k$-th power

Published on 27 Mar 2026 - 18:09

List Question

Seeking a general example of $f \in S_G$ but $f \notin {\rm Aut}(G)$

Prove or disprove: The automorphism group of a finite cyclic group must be cyclic.

Automorphism Group isomorphic to $\mathbb{Z}_n$

On marginal subgroups and automorphisms

Galois They $Aut(K/F) \leq [K:F] < \infty$

A variation on Keller's theorem

The orbits of the action of ${\rm Aut}(D_4)$ on $D_4$.

Homogeneous principal G-set and its group of automorphisms

How many symmetries can a countable set $\mathfrak X\subset\Bbb R^d$ have?

Constructing infinitely many automorphisms of a free group on two generators to itself

Isomorphisms between the automorphism group and edge automorphism group of complete graphs

Group $G$ such that $|G| = 385$

Prove that there does not exist group $G$ such that ${\rm Aut}(G)\cong \Bbb Z.$

$ Aut(G) = \langle Aut(G)_x, Aut(G)_e\rangle$ in a connected and arc-transitive graph

Torsion groups with every element conjugate to its $k$-th power

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