List questions from dihedral-groups

Published on 22 Mar 2026 - 23:08

48

Views

Number of congruences for given polyhedron

Published on 22 Mar 2026 - 20:34

557

Views

Is there a non-trivial homomorphism from $D_4$ to $D_3$?

Published on 23 Mar 2026 - 1:41

77

Views

Is there a dihedral graph in which the vertices have degree 4?

Published on 22 Mar 2026 - 22:21

621

Views

Show that a dihedral group of order $4$ is isomorphic to $V$, the $4$ group.

Published on 22 Mar 2026 - 23:39

259

Views

Find a topological space whose fundamental group is $D_4$

Published on 22 Mar 2026 - 18:56

186

Views

Prove or disprove: If $H$ is normal in $G$ and $H$ and $G/H$ are abelian, then $G$ is abelian.

Published on 23 Mar 2026 - 0:32

105

Views

Principled way to find a shape with symmetries given by a group

Published on 23 Mar 2026 - 14:37

48

Views

How does the element $ ba^{n} $ become $a^{3n}b $ from the relation $ ab=ba^{3}$ of the group $ D_{4}$?

Published on 22 Mar 2026 - 15:34

250

Views

What is Gal$_\mathbb{Q}(x^4 + 5x^3 + 10x + 5)$?

Published on 22 Mar 2026 - 19:40

126

Views

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Published on 20 Mar 2026 - 9:11

1k

Views

Is it only the generator of the group that commutes with all the other elements?

Published on 25 Mar 2026 - 11:03

109

Views

Counting elements of order 6 in $D_{12} \times Z_2$

Published on 25 Mar 2026 - 9:27

2.1k

Views

How to prove isomorphism with the Dihedral group

Published on 25 Mar 2026 - 9:27

1.2k

Views

Prove that $| \operatorname{Aut}(D_n)|= n\phi(n)$

Published on 25 Mar 2026 - 15:42

List Question

Show that no group has $D_n$ as its derived subgroup.

Number of congruences for given polyhedron

Is there a non-trivial homomorphism from $D_4$ to $D_3$?

Is there a dihedral graph in which the vertices have degree 4?

Show that a dihedral group of order $4$ is isomorphic to $V$, the $4$ group.

Find a topological space whose fundamental group is $D_4$

Prove or disprove: If $H$ is normal in $G$ and $H$ and $G/H$ are abelian, then $G$ is abelian.

Principled way to find a shape with symmetries given by a group

How does the element $ ba^{n} $ become $a^{3n}b $ from the relation $ ab=ba^{3}$ of the group $ D_{4}$?

What is Gal$_\mathbb{Q}(x^4 + 5x^3 + 10x + 5)$?

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Is it only the generator of the group that commutes with all the other elements?

Counting elements of order 6 in $D_{12} \times Z_2$

How to prove isomorphism with the Dihedral group

Prove that $| \operatorname{Aut}(D_n)|= n\phi(n)$

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