Question

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

score 321 · Answer 1 · 2026-05-05 19:39:12

321

Views

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

Published on 05 May 2026 - 19:39

score 84 · Answer 2 · 2026-05-05 03:23:17

84

Views

A weird automorphism

Published on 05 May 2026 - 3:23

score 50 · Answer 3 · 2026-04-29 12:26:13

50

Views

Confusing step in proof of property of cyclic group automorphisms

Published on 29 Apr 2026 - 12:26

score 103 · Answer 4 · 2026-05-07 11:42:01

103

Views

ord$(a) = p, f(a) = a, \forall f : G \to G$ automorphism $\implies |G|$ is not square-free

Published on 07 May 2026 - 11:42

score 148 · Answer 5 · 2026-04-30 23:52:36

148

Views

Arbitrary automorphism function on Aut(Quaternion Group)?

Published on 30 Apr 2026 - 23:52

score 53 · Answer 6 · 2026-05-10 10:58:22

53

Views

writing a computer program in magma that finds a linear code and a specific automorphism group to the code.

Published on 10 May 2026 - 10:58

score 327 · Answer 7 · 2026-05-05 19:06:29

327

Views

Let $G$ be a group. Show that, for every $a\in G$, the map $\phi_a:G\to G$, defined by $\phi_a(g) := aga^{−1}$ ($g\in G$), is a group automorphism.

Published on 05 May 2026 - 19:06

score 88 · Answer 8 · 2026-05-05 16:25:05

88

Views

homomorphism from $F^\times \times F^\times$ to Aut$(F)$

Published on 05 May 2026 - 16:25

score 697 · Answer 9 · 2026-05-07 18:14:41

697

Views

Extension of isomorphism of fields

Published on 07 May 2026 - 18:14

score 171 · Answer 10 · 2026-05-07 09:59:37

171

Views

Graph with distinct automorphisms but no fixed-point free automorphism

Published on 07 May 2026 - 9:59

score 51 · Answer 11 · 2026-04-18 15:57:15

51

Views

Constructing graph with a given number of isomorphisms.

Published on 18 Apr 2026 - 15:57

score 221 · Answer 12 · 2026-05-10 12:34:20

221

Views

Show that if $p$ divides $\lvert\operatorname{Aut}(G)\rvert$, then $p=4k+3$

Published on 10 May 2026 - 12:34

score 399 · Answer 13 · 2026-04-27 00:56:37

399

Views

Boundary $\partial F_n$ of a free group $F_n$

Published on 27 Apr 2026 - 0:56

score 321 · Answer 14 · 2026-05-07 11:46:37

321

Views

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

Published on 07 May 2026 - 11:46

score 355 · Answer 15 · 2026-05-10 12:35:45

355

Views

What is an example of a power automorphism of a group that isn't a universal power automorphism?

Published on 10 May 2026 - 12:35

List Question

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

A weird automorphism

Confusing step in proof of property of cyclic group automorphisms

ord$(a) = p, f(a) = a, \forall f : G \to G$ automorphism $\implies |G|$ is not square-free

Arbitrary automorphism function on Aut(Quaternion Group)?

writing a computer program in magma that finds a linear code and a specific automorphism group to the code.

Let $G$ be a group. Show that, for every $a\in G$, the map $\phi_a:G\to G$, defined by $\phi_a(g) := aga^{−1}$ ($g\in G$), is a group automorphism.

homomorphism from $F^\times \times F^\times$ to Aut$(F)$

Extension of isomorphism of fields

Graph with distinct automorphisms but no fixed-point free automorphism

Constructing graph with a given number of isomorphisms.

Show that if $p$ divides $\lvert\operatorname{Aut}(G)\rvert$, then $p=4k+3$

Boundary $\partial F_n$ of a free group $F_n$

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

What is an example of a power automorphism of a group that isn't a universal power automorphism?

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