List questions from dihedral-groups

Published on 29 Apr 2026 - 12:53

54

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Number of congruences for given polyhedron

Published on 29 Apr 2026 - 12:26

562

Views

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

Published on 29 Apr 2026 - 12:52

82

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

Published on 29 Apr 2026 - 12:52

627

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

Published on 29 Apr 2026 - 12:52

264

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Find a topological space whose fundamental group is $D_4$

Published on 10 May 2026 - 10:18

195

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

Published on 29 Apr 2026 - 12:52

111

Views

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

Published on 29 Apr 2026 - 12:53

54

Views

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

Published on 29 Apr 2026 - 12:53

254

Views

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

Published on 29 Apr 2026 - 12:52

133

Views

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

Published on 29 Apr 2026 - 12:52

1k

Views

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

Published on 10 May 2026 - 11:43

113

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

Published on 10 May 2026 - 11:42

2.1k

Views

How to prove isomorphism with the Dihedral group

Published on 10 May 2026 - 11:41

1.2k

Views

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

Published on 10 May 2026 - 11:41

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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