Question

Number of elements in the cyclotomic $F$ class.

score 65 · Answer 1 · 2026-04-16 22:34:19

65

Views

Number of elements in the cyclotomic $F$ class.

Published on 16 Apr 2026 - 22:34

score 26 · Answer 2 · 2026-04-09 10:03:44

26

Views

No of elements in a subgroup of the Galois group.

Published on 09 Apr 2026 - 10:03

score 316 · Answer 3 · 2026-04-17 06:35:20

316

Views

Gordon Royle's 21-vertex 21-automorphism graph

Published on 17 Apr 2026 - 6:35

score 169 · Answer 4 · 2026-04-16 14:21:53

169

Views

A part of the proof that $\operatorname{Aut}(G)$ is a subgroup of Symmetric Group of G ($S_G$).

Published on 16 Apr 2026 - 14:21

score 336 · Answer 5 · 2026-04-13 22:14:32

336

Views

Arc transitive problem about Petersen graph

Published on 13 Apr 2026 - 22:14

score 289 · Answer 6 · 2026-04-25 22:35:30

289

Views

Are all power automorphisms of a finite abelian group of the form $f(x)=x^n$?

Published on 25 Apr 2026 - 22:35

score 129 · Answer 7 · 2026-04-16 03:20:36

129

Views

Examples of a group $G$ with a non-trivial homomorphism $f:G \to Z(G)$

Published on 16 Apr 2026 - 3:20

score 292 · Answer 8 · 2026-04-15 03:14:41

292

Views

Commutator of the semidirect product

Published on 15 Apr 2026 - 3:14

score 534 · Answer 9 · 2026-04-13 08:52:48

534

Views

Does there exist a finite group whose automorphism group is simple?

Published on 13 Apr 2026 - 8:52

score 133 · Answer 10 · 2026-04-23 04:13:39

133

Views

For any sets $X$ & $Y$ can the group of automorphisms for the digraph $G(X,Y)=(X\cup Y,X\times Y)$ be express in terms of symmetric groups?

Published on 23 Apr 2026 - 4:13

score 127 · Answer 11 · 2026-04-17 02:46:14

127

Views

Prove that the only automorphism of order 2 of $\mathbb{Z}_q$ is $m \mapsto -m$ for $q = 3$ and $q = 5$ and $q = 7$

Published on 17 Apr 2026 - 2:46

score 91 · Answer 12 · 2026-04-14 01:47:03

91

Views

Why are there only two groups of order 2p for $p=5,7$?

Published on 14 Apr 2026 - 1:47

score 232 · Answer 13 · 2026-04-16 12:22:13

232

Views

What are the graph automorphisms of the Hasse diagram of a (finite) poset?

Published on 16 Apr 2026 - 12:22

score 75 · Answer 14 · 2026-04-16 00:25:33

75

Views

If $G$ embeds isomorphically into $\operatorname{Aut}(G)$ does that imply $Z(G) = \{1\}$?

Published on 16 Apr 2026 - 0:25

score 77 · Answer 15 · 2026-04-15 14:07:42

77

Views

Constructing an isomorphism from dihedral group $D_5$ to Grötzsch graph automorphism group

Published on 15 Apr 2026 - 14:07

List Question

Number of elements in the cyclotomic $F$ class.

No of elements in a subgroup of the Galois group.

Gordon Royle's 21-vertex 21-automorphism graph

A part of the proof that $\operatorname{Aut}(G)$ is a subgroup of Symmetric Group of G ($S_G$).

Arc transitive problem about Petersen graph

Are all power automorphisms of a finite abelian group of the form $f(x)=x^n$?

Examples of a group $G$ with a non-trivial homomorphism $f:G \to Z(G)$

Commutator of the semidirect product

Does there exist a finite group whose automorphism group is simple?

For any sets $X$ & $Y$ can the group of automorphisms for the digraph $G(X,Y)=(X\cup Y,X\times Y)$ be express in terms of symmetric groups?

Prove that the only automorphism of order 2 of $\mathbb{Z}_q$ is $m \mapsto -m$ for $q = 3$ and $q = 5$ and $q = 7$

Why are there only two groups of order 2p for $p=5,7$?

What are the graph automorphisms of the Hasse diagram of a (finite) poset?

If $G$ embeds isomorphically into $\operatorname{Aut}(G)$ does that imply $Z(G) = \{1\}$?

Constructing an isomorphism from dihedral group $D_5$ to Grötzsch graph automorphism group

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