List questions from dihedral-groups

Published on 18 Jul 2022 - 14:50

112

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Is there surjective homomorphism of the fundamental group $\pi_1(\mathbb{R}^3 - 6_1^2)$ onto the dihedral group $D_{2\cdot 3}$ of $6$ elements?

Published on 27 Jul 2022 - 16:13

33

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In $D_{2n}$ if $(r^i \Delta^j) (r^k \Delta^l)=r^m \Delta^n$ then compute $m,n$

Published on 29 Jul 2022 - 12:20

194

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How to Find Orbits and Stabilizers

Published on 23 Feb 2026 - 10:01

164

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Extended Homomorphism from $D_{2n}$ to $GL_2(\mathbb{R})$

Published on 18 Aug 2022 - 7:37

179

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Prove that if $G=\langle r, s\mid r^n=s^2=1, rs=sr^{-1}\rangle$, then $|G|\geq 2n$.

Published on 26 Aug 2022 - 22:54

118

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Lower central series for $D_n$, the dihedral group

Published on 16 Sep 2022 - 2:21

116

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Proof that $rs = sr^{-1}$ in $D_{2n}$

Published on 18 Sep 2022 - 18:26

85

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Computing all semidirect products $\mathbb{Z}/3\mathbb{Z}\rtimes D_8.$

Published on 22 Sep 2022 - 3:37

69

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Understanding the role of vertices in $D_{2n}$ in the definition of rigid motion

Published on 24 Sep 2022 - 18:54

45

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Proving generators of $D_{2n}$ are distinct.

Published on 28 Sep 2022 - 5:53

58

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Question about an exercise in infinite dihedral group.

Published on 04 Oct 2022 - 14:02

185

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Generators and relations of the dihedral group

Published on 07 Oct 2022 - 10:11

38

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Intersection of two cyclic groups in $D_{n}$

Published on 12 Oct 2022 - 15:06

91

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Conjugacy classes of subgroups of $D_{4}$

Published on 19 Oct 2022 - 14:16

List Question

Irreducible representation of regular representation

Is there surjective homomorphism of the fundamental group $\pi_1(\mathbb{R}^3 - 6_1^2)$ onto the dihedral group $D_{2\cdot 3}$ of $6$ elements?

In $D_{2n}$ if $(r^i \Delta^j) (r^k \Delta^l)=r^m \Delta^n$ then compute $m,n$

How to Find Orbits and Stabilizers

Extended Homomorphism from $D_{2n}$ to $GL_2(\mathbb{R})$

Prove that if $G=\langle r, s\mid r^n=s^2=1, rs=sr^{-1}\rangle$, then $|G|\geq 2n$.

Lower central series for $D_n$, the dihedral group

Proof that $rs = sr^{-1}$ in $D_{2n}$

Computing all semidirect products $\mathbb{Z}/3\mathbb{Z}\rtimes D_8.$

Understanding the role of vertices in $D_{2n}$ in the definition of rigid motion

Proving generators of $D_{2n}$ are distinct.

Question about an exercise in infinite dihedral group.

Generators and relations of the dihedral group

Intersection of two cyclic groups in $D_{n}$

Conjugacy classes of subgroups of $D_{4}$

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