Question

The expected size of Aut$(G)$ for an unlabelled graph $G$ on $n$ vertices

score 208 · Answer 1 · 2021-10-07 19:59:18

208

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The expected size of Aut$(G)$ for an unlabelled graph $G$ on $n$ vertices

Published on 07 Oct 2021 - 19:59

score 34 · Answer 2 · 2021-10-08 09:42:00

34

Views

Mathematical structure of time-dependent Hamiltonians

Published on 08 Oct 2021 - 9:42

score 78 · Answer 3 · 2021-10-08 19:01:42

78

Views

Show that $|\{\varphi\in \text{Aut}(\mathbb{Z}_{15})\mid \varphi=\varphi^{-1}\}|=4$

Published on 08 Oct 2021 - 19:01

score 70 · Answer 4 · 2026-03-25 10:54:13

70

Views

The Automorphisms of a group with a certain presentation

Published on 25 Mar 2026 - 10:54

score 126 · Answer 5 · 2021-10-13 01:27:40

126

Views

Automorphisms, Cyclic Groups, and Order

Published on 13 Oct 2021 - 1:27

score 33 · Answer 6 · 2026-03-25 14:27:16

33

Views

equivalent definition of Grothendieck-Teichmüller group

Published on 25 Mar 2026 - 14:27

score 48 · Answer 7 · 2021-10-17 22:41:14

48

Views

For $m,n\in\Bbb N$, ${\rm Aut}(\Bbb{Z}_n^m)$ is isomorphic to ${\rm GL}_m(\Bbb{Z}_n)$

Published on 17 Oct 2021 - 22:41

score 1.1k · Answer 8 · 2021-10-19 20:02:11

1.1k

Views

Automorphism group of cyclic group is isomorphic to $(\mathbb{Z}/n\mathbb{Z})^*$

Published on 19 Oct 2021 - 20:02

score 148 · Answer 9 · 2026-03-25 20:34:44

148

Views

Elliptic Curve Automorphisms In Magma

Published on 25 Mar 2026 - 20:34

score 142 · Answer 10 · 2021-10-24 16:40:22

142

Views

hint for automorphism group of Riemann sphere

Published on 24 Oct 2021 - 16:40

score 48 · Answer 11 · 2026-03-28 09:57:36

48

Views

If $G=p^n$, how does the action of $\operatorname{Aut}(G)$ on $G/G'G^p$ induce a homomorphism $\operatorname{Aut}(G)\to GL_m(\mathbb{F}_p)$?

Published on 28 Mar 2026 - 9:57

score 147 · Answer 12 · 2021-10-28 08:23:05

147

Views

Proving a group is abelian and of odd order?

Published on 28 Oct 2021 - 8:23

score 302 · Answer 13 · 2021-10-28 15:35:39

302

Views

Proof of $\operatorname{Aut}(C_p)\cong C_{p-1}$ by means of permutations?

Published on 28 Oct 2021 - 15:35

score 49 · Answer 14 · 2021-10-31 22:22:19

49

Views

Prove $f\in\text{Aut}(\mathbb{Z}_n)\Longleftrightarrow f([1]_n)\in \mathcal{U}(\mathbb{Z}_n)$

Published on 31 Oct 2021 - 22:22

score 76 · Answer 15 · 2021-11-01 05:04:00

76

Views

Prove $\phi:(\mathbb{Z}/n\mathbb{Z})^{\times}\to\text{Aut}(\mathbb{Z}_n)$ such that $[x]\mapsto \phi_{[x]}([t])=x[t]$ is an isomorphism

Published on 01 Nov 2021 - 5:04

List Question

The expected size of Aut$(G)$ for an unlabelled graph $G$ on $n$ vertices

Mathematical structure of time-dependent Hamiltonians

Show that $|\{\varphi\in \text{Aut}(\mathbb{Z}_{15})\mid \varphi=\varphi^{-1}\}|=4$

The Automorphisms of a group with a certain presentation

Automorphisms, Cyclic Groups, and Order

equivalent definition of Grothendieck-Teichmüller group

For $m,n\in\Bbb N$, ${\rm Aut}(\Bbb{Z}_n^m)$ is isomorphic to ${\rm GL}_m(\Bbb{Z}_n)$

Automorphism group of cyclic group is isomorphic to $(\mathbb{Z}/n\mathbb{Z})^*$

Elliptic Curve Automorphisms In Magma

hint for automorphism group of Riemann sphere

If $G=p^n$, how does the action of $\operatorname{Aut}(G)$ on $G/G'G^p$ induce a homomorphism $\operatorname{Aut}(G)\to GL_m(\mathbb{F}_p)$?

Proving a group is abelian and of odd order?

Proof of $\operatorname{Aut}(C_p)\cong C_{p-1}$ by means of permutations?

Prove $f\in\text{Aut}(\mathbb{Z}_n)\Longleftrightarrow f([1]_n)\in \mathcal{U}(\mathbb{Z}_n)$

Prove $\phi:(\mathbb{Z}/n\mathbb{Z})^{\times}\to\text{Aut}(\mathbb{Z}_n)$ such that $[x]\mapsto \phi_{[x]}([t])=x[t]$ is an isomorphism

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