Question

Coprime automorphism group implies cyclic with order a cyclicity-forcing number

score 100 · Answer 1 · 2026-05-10 21:35:38

100

Views

Coprime automorphism group implies cyclic with order a cyclicity-forcing number

Published on 10 May 2026 - 21:35

score 120 · Answer 2 · 2026-05-10 14:58:58

120

Views

Problem related to semidirect product

Published on 10 May 2026 - 14:58

score 67 · Answer 3 · 2026-04-15 23:51:01

67

Views

Lifting finite order automorphism of power series ring

Published on 15 Apr 2026 - 23:51

score 163 · Answer 4 · 2026-04-14 15:39:27

163

Views

Reconstructing a non-$\omega$-categorical countable structure from its automorphism group

Published on 14 Apr 2026 - 15:39

score 165 · Answer 5 · 2026-04-13 02:27:06

165

Views

Is it useful to know that automorphisms on $(\mathbb R^{\gt0},+)$ are always continuous?

Published on 13 Apr 2026 - 2:27

score 801 · Answer 6 · 2026-04-17 05:01:51

801

Views

How to show that an automorphism is inner/outer

Published on 17 Apr 2026 - 5:01

score 665 · Answer 7 · 2026-04-16 03:55:37

665

Views

Let $F$ be a finite field with $p^n$ elements where char$(F)=p$

Published on 16 Apr 2026 - 3:55

score 1.4k · Answer 8 · 2026-04-16 22:28:42

1.4k

Views

Let $\phi:\Bbb{Z}_{20} \to \Bbb{Z}_{20}$ be an automorphism and $\phi(5)=5$. What are the possibilities of $\phi(x)$?

Published on 16 Apr 2026 - 22:28

score 313 · Answer 9 · 2026-05-10 15:27:23

313

Views

Computing quotient cayley graphs in GAP

Published on 10 May 2026 - 15:27

score 1.1k · Answer 10 · 2026-04-13 02:50:28

1.1k

Views

Deduce that $\mbox{Aut}(\mathbb{Z}/n\mathbb{Z})$ is isomorphic to $(\mathbb{Z}/n\mathbb{Z})^*$ (a group under multiplication)

Published on 13 Apr 2026 - 2:50

score 482 · Answer 11 · 2026-05-10 15:13:07

482

Views

Automorphism group of $\mathbb Z_2^3$

Published on 10 May 2026 - 15:13

score 192 · Answer 12 · 2026-04-11 23:43:03

192

Views

The automorphism group of $S_6$ is isomorphic to a semidirect prodct

Published on 11 Apr 2026 - 23:43

score 138 · Answer 13 · 2026-04-12 01:14:57

138

Views

Solvability of the (outer) automorphism group of a central product

Published on 12 Apr 2026 - 1:14

score 47 · Answer 14 · 2026-04-15 03:46:10

47

Views

How to find set of all automorphism of G in given question without evaluating each bijective map?

Published on 15 Apr 2026 - 3:46

score 105 · Answer 15 · 2026-04-09 11:02:15

105

Views

Galois group of finite field extension

Published on 09 Apr 2026 - 11:02

List Question

Coprime automorphism group implies cyclic with order a cyclicity-forcing number

Problem related to semidirect product

Lifting finite order automorphism of power series ring

Reconstructing a non-$\omega$-categorical countable structure from its automorphism group

Is it useful to know that automorphisms on $(\mathbb R^{\gt0},+)$ are always continuous?

How to show that an automorphism is inner/outer

Let $F$ be a finite field with $p^n$ elements where char$(F)=p$

Let $\phi:\Bbb{Z}_{20} \to \Bbb{Z}_{20}$ be an automorphism and $\phi(5)=5$. What are the possibilities of $\phi(x)$?

Computing quotient cayley graphs in GAP

Deduce that $\mbox{Aut}(\mathbb{Z}/n\mathbb{Z})$ is isomorphic to $(\mathbb{Z}/n\mathbb{Z})^*$ (a group under multiplication)

Automorphism group of $\mathbb Z_2^3$

The automorphism group of $S_6$ is isomorphic to a semidirect prodct

Solvability of the (outer) automorphism group of a central product

How to find set of all automorphism of G in given question without evaluating each bijective map?

Galois group of finite field extension

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