Question

Automorphisms of $\mathbb{R^*}$ as a group

score 165 · Answer 1 · 2021-05-14 17:53:04

165

Views

Automorphisms of $\mathbb{R^*}$ as a group

Published on 14 May 2021 - 17:53

score 190 · Answer 2 · 2026-03-30 08:15:00

190

Views

What is known about groups of automorphisms leaving invariant general bilinear forms and functions?

Published on 30 Mar 2026 - 8:15

score 185 · Answer 3 · 2021-05-16 03:14:37

185

Views

Can elements of automorphism groups be expressed as some form of matrix?

Published on 16 May 2021 - 3:14

score 307 · Answer 4 · 2021-05-18 19:35:12

307

Views

What is special about SU(2) compared with other SU($N$)?

Published on 18 May 2021 - 19:35

score 57 · Answer 5 · 2021-05-21 04:06:30

57

Views

What can be said about how an automorphism acts on the roots of a polynomial in $\mathbb{A}$

Published on 21 May 2021 - 4:06

score 315 · Answer 6 · 2021-05-26 18:25:29

315

Views

Prove $\operatorname{Gal}(EL/E)$ is a Galois extension in this case

Published on 26 May 2021 - 18:25

score 150 · Answer 7 · 2021-05-27 22:52:09

150

Views

Differences in Projective- Symmetry and Invariants on the Riemann Sphere, Cylinder and Torus

Published on 27 May 2021 - 22:52

score 108 · Answer 8 · 2026-03-30 10:42:28

108

Views

Prove $\operatorname{Gal}(M_3/M_1)\cong\operatorname{Gal}(M_2/(M_1\cap M_2))$

Published on 30 Mar 2026 - 10:42

score 238 · Answer 9 · 2021-06-07 17:23:04

238

Views

Automorphism of quaternions

Published on 07 Jun 2021 - 17:23

score 62 · Answer 10 · 2021-06-09 21:19:29

62

Views

Efficiently finding the not-quite-order of an element of $\text{Aut}((\mathbb{Z}/p\mathbb{Z})^2)$

Published on 09 Jun 2021 - 21:19

score 74 · Answer 11 · 2026-03-26 01:16:42

74

Views

Automorphism group of octonions is closed in $O(7)$.

Published on 26 Mar 2026 - 1:16

score 81 · Answer 12 · 2021-06-12 13:27:27

81

Views

Working out automorphism groups of algebraic varieties

Published on 12 Jun 2021 - 13:27

score 44 · Answer 13 · 2026-02-23 07:23:02

44

Views

$\{0\}\times 3\mathbb{Z}/9\mathbb{Z}$ as a characteristic subgroup of $\mathbb{Z}/3\mathbb{Z} \times \mathbb{Z}/9\mathbb{Z}$

Published on 23 Feb 2026 - 7:23

score 83 · Answer 14 · 2026-03-28 11:32:13

83

Views

If $|G_{{\rm ab}}|$ and $|Z(G)|$ are coprime for finite $G$, then $G$ has a unique Remak decomposition.

Published on 28 Mar 2026 - 11:32

score 123 · Answer 15 · 2026-03-28 11:26:56

123

Views

Find $|{\rm Aut}(D_8\times S_3)|$ using a particular result about Remak decompositions.

Published on 28 Mar 2026 - 11:26

List Question

Automorphisms of $\mathbb{R^*}$ as a group

What is known about groups of automorphisms leaving invariant general bilinear forms and functions?

Can elements of automorphism groups be expressed as some form of matrix?

What is special about SU(2) compared with other SU($N$)?

What can be said about how an automorphism acts on the roots of a polynomial in $\mathbb{A}$

Prove $\operatorname{Gal}(EL/E)$ is a Galois extension in this case

Differences in Projective- Symmetry and Invariants on the Riemann Sphere, Cylinder and Torus

Prove $\operatorname{Gal}(M_3/M_1)\cong\operatorname{Gal}(M_2/(M_1\cap M_2))$

Automorphism of quaternions

Efficiently finding the not-quite-order of an element of $\text{Aut}((\mathbb{Z}/p\mathbb{Z})^2)$

Automorphism group of octonions is closed in $O(7)$.

Working out automorphism groups of algebraic varieties

$\{0\}\times 3\mathbb{Z}/9\mathbb{Z}$ as a characteristic subgroup of $\mathbb{Z}/3\mathbb{Z} \times \mathbb{Z}/9\mathbb{Z}$

If $|G_{{\rm ab}}|$ and $|Z(G)|$ are coprime for finite $G$, then $G$ has a unique Remak decomposition.

Find $|{\rm Aut}(D_8\times S_3)|$ using a particular result about Remak decompositions.

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