List questions from dihedral-groups

Published on 20 Dec 2020 - 20:50

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For each positive integer $n \geq 3$, determine the centre of $D_{2n}$ (help for understand)

Published on 23 Dec 2020 - 23:57

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Find subgroup(s) of order 2 of $D_{2p}$

Published on 26 Dec 2020 - 3:36

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Symmetries in a dihedral group

Published on 29 Dec 2020 - 19:39

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Orbits of dihedral group

Published on 11 Jan 2021 - 21:08

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Reference for theorem on quotient of generalized quaternion group by its centre being isomorphic to dihedral group

Published on 13 Jan 2021 - 14:18

159

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Find all subgroups of the dihedral group $D_n$

Published on 14 Jan 2021 - 21:22

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Why is $A \rtimes B \simeq \mathbb Z \rtimes \mathbb Z/2\mathbb Z$

Published on 27 Mar 2026 - 23:00

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In $S_4$ describe all the leftcosets of the subgroup $D_4$

Published on 02 Feb 2021 - 0:36

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Are $D_{20}$ and $\mathbb{Z}_{2} \times \mathbb{Z}_{10}$ isomorphic?

Published on 02 Feb 2021 - 2:02

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Sylow 2-subgroup and Sylow 3-subgroup of $D_{24}$ (of order $48$).

Published on 13 Feb 2021 - 15:23

704

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$D_{2n}$ is isomorphic to a subgroup of $S_n$ (for $n>2$).

Published on 18 Feb 2021 - 11:59

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Let $G$ be a finite group and let $x$ and $y$ be distinct elements of order 2 in $G$ that generate $G$. Prove that $G\cong D_{2n}$, where $n=|xy|.$

Published on 26 Feb 2021 - 16:43

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Multiplication/Cayley tables for the Dihedral Groups

Published on 25 Mar 2026 - 6:00

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How to show that the $f$ is one-one and onto?

Published on 02 Mar 2021 - 15:44

List Question

Composition series of $D_{12}$ (of order $12$).

For each positive integer $n \geq 3$, determine the centre of $D_{2n}$ (help for understand)

Find subgroup(s) of order 2 of $D_{2p}$

Symmetries in a dihedral group

Orbits of dihedral group

Reference for theorem on quotient of generalized quaternion group by its centre being isomorphic to dihedral group

Find all subgroups of the dihedral group $D_n$

Why is $A \rtimes B \simeq \mathbb Z \rtimes \mathbb Z/2\mathbb Z$

In $S_4$ describe all the leftcosets of the subgroup $D_4$

Are $D_{20}$ and $\mathbb{Z}_{2} \times \mathbb{Z}_{10}$ isomorphic?

Sylow 2-subgroup and Sylow 3-subgroup of $D_{24}$ (of order $48$).

$D_{2n}$ is isomorphic to a subgroup of $S_n$ (for $n>2$).

Let $G$ be a finite group and let $x$ and $y$ be distinct elements of order 2 in $G$ that generate $G$. Prove that $G\cong D_{2n}$, where $n=|xy|.$

Multiplication/Cayley tables for the Dihedral Groups

How to show that the $f$ is one-one and onto?

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