Question

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

score 307 · Answer 1 · 2026-03-17 10:26:52

307

Views

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

Published on 17 Mar 2026 - 10:26

score 67 · Answer 2 · 2026-03-17 13:16:10

67

Views

A weird automorphism

Published on 17 Mar 2026 - 13:16

score 42 · Answer 3 · 2026-03-20 11:32:47

42

Views

Confusing step in proof of property of cyclic group automorphisms

Published on 20 Mar 2026 - 11:32

score 92 · Answer 4 · 2026-03-19 12:43:40

92

Views

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

Published on 19 Mar 2026 - 12:43

score 139 · Answer 5 · 2026-03-20 03:44:51

139

Views

Arbitrary automorphism function on Aut(Quaternion Group)?

Published on 20 Mar 2026 - 3:44

score 44 · Answer 6 · 2026-03-22 08:21:53

44

Views

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

Published on 22 Mar 2026 - 8:21

score 318 · Answer 7 · 2026-03-20 20:33:26

318

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 20 Mar 2026 - 20:33

score 79 · Answer 8 · 2026-03-22 09:25:43

79

Views

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

Published on 22 Mar 2026 - 9:25

score 690 · Answer 9 · 2026-03-19 23:44:58

690

Views

Extension of isomorphism of fields

Published on 19 Mar 2026 - 23:44

score 159 · Answer 10 · 2026-03-24 01:57:42

159

Views

Graph with distinct automorphisms but no fixed-point free automorphism

Published on 24 Mar 2026 - 1:57

score 45 · Answer 11 · 2026-03-20 06:34:32

45

Views

Constructing graph with a given number of isomorphisms.

Published on 20 Mar 2026 - 6:34

score 216 · Answer 12 · 2026-03-24 23:19:51

216

Views

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

Published on 24 Mar 2026 - 23:19

score 394 · Answer 13 · 2026-03-22 19:23:21

394

Views

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

Published on 22 Mar 2026 - 19:23

score 312 · Answer 14 · 2026-03-19 12:47:53

312

Views

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

Published on 19 Mar 2026 - 12:47

score 350 · Answer 15 · 2026-03-17 07:44:34

350

Views

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

Published on 17 Mar 2026 - 7:44

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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