Question

does a graph with two vertices of the same degree automatically have a non-trivial automorphism

score 406 · Answer 1 · 2020-12-27 09:59:38

406

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does a graph with two vertices of the same degree automatically have a non-trivial automorphism

Published on 27 Dec 2020 - 9:59

score 577 · Answer 2 · 2020-12-28 12:19:28

577

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Prove that all graphs $G=(V,E)$ with $|V|=4$ have non-trivial automorphism group

Published on 28 Dec 2020 - 12:19

score 301 · Answer 3 · 2020-12-29 12:54:55

301

Views

Is automorphism group of lie group a lie group?

Published on 29 Dec 2020 - 12:54

score 86 · Answer 4 · 2026-03-30 09:49:18

86

Views

Hardness of the conjugacy search problem

Published on 30 Mar 2026 - 9:49

score 522 · Answer 5 · 2020-12-31 09:23:09

522

Views

If $p$ is an odd prime then prove that there cannot exist a finite group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_p$.

Published on 31 Dec 2020 - 9:23

score 53 · Answer 6 · 2021-01-04 16:34:16

53

Views

Prove $(S,\cdot)$ is a group.

Published on 04 Jan 2021 - 16:34

score 343 · Answer 7 · 2021-01-13 15:18:34

343

Views

Characteristic subgroups of $\mathbb{Z}_3 \times \mathbb{Z}_9$

Published on 13 Jan 2021 - 15:18

score 65 · Answer 8 · 2021-01-15 14:59:40

65

Views

How to find fixed field of this particular Automorphism

Published on 15 Jan 2021 - 14:59

score 144 · Answer 9 · 2021-01-15 15:09:22

144

Views

$|\operatorname{Aut}(K/F)| \leq [K:F]_s$ holds in general?

Published on 15 Jan 2021 - 15:09

score 80 · Answer 10 · 2021-01-17 14:58:23

80

Views

Prove that $\text{Aut}(\mathbb{Z}_{p^{n}} )\cong \mathbb{Z}_{\phi(p^{n})}$ where p is a prime and $\phi(.)$ denotes the euler totient function.

Published on 17 Jan 2021 - 14:58

score 101 · Answer 11 · 2021-01-19 12:22:23

101

Views

Is there a nonrigid space X homeomorphic to X/Aut(X)?

Published on 19 Jan 2021 - 12:22

score 213 · Answer 12 · 2021-01-20 12:55:25

213

Views

Number of non-isomorphic subgraphs by automorphism group

Published on 20 Jan 2021 - 12:55

score 85 · Answer 13 · 2021-01-20 17:20:22

85

Views

Graph automorphism groups: reference request

Published on 20 Jan 2021 - 17:20

score 117 · Answer 14 · 2021-01-20 18:28:09

117

Views

What Lie algebras have trivial automorphism group?

Published on 20 Jan 2021 - 18:28

score 161 · Answer 15 · 2021-01-22 21:35:17

161

Views

The Automorphism Group $\Gamma(\mathbb{Q}(\sqrt[n]{2}):\mathbb{Q})$ is trivial if $n$ is odd.

Published on 22 Jan 2021 - 21:35

List Question

does a graph with two vertices of the same degree automatically have a non-trivial automorphism

Prove that all graphs $G=(V,E)$ with $|V|=4$ have non-trivial automorphism group

Is automorphism group of lie group a lie group?

Hardness of the conjugacy search problem

If $p$ is an odd prime then prove that there cannot exist a finite group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_p$.

Prove $(S,\cdot)$ is a group.

Characteristic subgroups of $\mathbb{Z}_3 \times \mathbb{Z}_9$

How to find fixed field of this particular Automorphism

$|\operatorname{Aut}(K/F)| \leq [K:F]_s$ holds in general?

Prove that $\text{Aut}(\mathbb{Z}_{p^{n}} )\cong \mathbb{Z}_{\phi(p^{n})}$ where p is a prime and $\phi(.)$ denotes the euler totient function.

Is there a nonrigid space X homeomorphic to X/Aut(X)?

Number of non-isomorphic subgraphs by automorphism group

Graph automorphism groups: reference request

What Lie algebras have trivial automorphism group?

The Automorphism Group $\Gamma(\mathbb{Q}(\sqrt[n]{2}):\mathbb{Q})$ is trivial if $n$ is odd.

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