List questions from dihedral-groups

Published on 27 May 2022 - 1:44

626

Views

Prove that the subgroup of rotations $R_n < D_n$ of the Dihedral Group is normal, without reference to the index of a subgroup.

Published on 10 Jun 2022 - 17:24

371

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Dihedral and generalized quaternion groups have same character table

Published on 10 Jun 2022 - 20:38

112

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A presentation of a Dihedral group

Published on 12 Jun 2022 - 21:58

18

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Let $a$ and $b$ elements of order $2$ in a group $G$. Suppose $\mathrm{ord} (a,b) = 4$. Show that the subgroup generated by $a$ and $b$ is $D_4$.

Published on 02 Jul 2022 - 18:13

54

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Is it possible for any rotation in $D_n$ to reverse orientation?

Published on 03 Jul 2022 - 18:01

84

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Request vetting of understanding of problem on commutator subgroups.

Published on 23 Feb 2026 - 9:31

148

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Dihedral group property proof

Published on 14 Jul 2022 - 13:42

101

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Question about $rs=sr^{-1}$ in $D_{2n}$

Published on 14 Jul 2022 - 14:30

67

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Embedding of smaller order dihedral group, $D_a$, inside bigger: $D_b,$ s.t. $a\mid b.$

Published on 15 Jul 2022 - 13:11

76

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Mastery over the groups $S_n,A_n,D_n$ and $Q_8$

Published on 28 Mar 2026 - 10:55

80

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Calculating the number of elements of a given order in Dihedral group.

Published on 16 Jul 2022 - 6:00

69

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Product of Transpositions - reflection elements of $D_5$.

Published on 17 Jul 2022 - 8:26

63

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About using conjugation in $S_4$ to help in finding the outer automorphisms of $D_4$

Published on 17 Jul 2022 - 16:44

61

Views

Show that $D_{2\times 30}$ is not isomorphic to $A_{5}$

Published on 17 Jul 2022 - 18:46

List Question

How to formally derive semidirect product for D4 group?

Prove that the subgroup of rotations $R_n < D_n$ of the Dihedral Group is normal, without reference to the index of a subgroup.

Dihedral and generalized quaternion groups have same character table

A presentation of a Dihedral group

Let $a$ and $b$ elements of order $2$ in a group $G$. Suppose $\mathrm{ord} (a,b) = 4$. Show that the subgroup generated by $a$ and $b$ is $D_4$.

Is it possible for any rotation in $D_n$ to reverse orientation?

Request vetting of understanding of problem on commutator subgroups.

Dihedral group property proof

Question about $rs=sr^{-1}$ in $D_{2n}$

Embedding of smaller order dihedral group, $D_a$, inside bigger: $D_b,$ s.t. $a\mid b.$

Mastery over the groups $S_n,A_n,D_n$ and $Q_8$

Calculating the number of elements of a given order in Dihedral group.

Product of Transpositions - reflection elements of $D_5$.

About using conjugation in $S_4$ to help in finding the outer automorphisms of $D_4$

Show that $D_{2\times 30}$ is not isomorphic to $A_{5}$

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