List questions from dihedral-groups

Published on 25 Jun 2023 - 19:00

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Symmetries of the dihedral groups $D_n$ and $D_{nh}$.

Published on 27 Jun 2023 - 14:41

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What are the elements of the Dihedral Group $D_8$ when given by $D_8 = \langle a, b \mid a^2 = b^2 = (ab)^4=1\rangle?$

Published on 26 Mar 2026 - 20:41

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Smallest $m$ such that $D_n$ is a subgroup of $S_m$

Published on 05 Jul 2023 - 10:24

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Subgroup generated by two elements of group.

Published on 22 Jul 2023 - 12:27

131

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If $|G|=154$, and it not a direct product, then it must be isomorphic to $D_{154}$.

Published on 24 Jul 2023 - 4:20

151

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No subgroup of $D_3$ has order 4.

Published on 01 Aug 2023 - 14:09

52

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Finding orbit in a group action of automorphism group of dihedral group on the dihedral group.

Published on 24 Aug 2023 - 18:20

27

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Showing that $f(r^k)^{-1}=f(r^k)$, where $f$ is a representation of the dihedral group $D_n$

Published on 31 Aug 2023 - 18:10

150

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Listing all subgroups of $D_{10}$

Published on 04 Sep 2023 - 21:02

98

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Proving a non-cyclic $G$ has a cyclic subgroup of index $2$ and $G\cong D_k.$

Published on 21 Sep 2023 - 11:33

116

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Binary sequences of $a$ zeros and $b$ ones which have $a+b$ circular shifts.

Published on 25 Sep 2023 - 10:36

91

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$H,K \leq G$, $|H| = 126, |K| = 228$. Show that $H \cap K \leq G$ is either cyclic or isomorphic to $D_3$

Published on 05 Oct 2023 - 15:15

81

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Normalizer of Sylow $2$-subgroup of $D_{2n}$.

Published on 05 Oct 2023 - 21:59

64

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Method for classifying irreducible $\mathbb{C}$-representations of $D_{10}$ of dimension $2$

Published on 20 Mar 2026 - 23:43

List Question

Proving that $r^i \neq sr^j$ in $D_{2n}$

Symmetries of the dihedral groups $D_n$ and $D_{nh}$.

What are the elements of the Dihedral Group $D_8$ when given by $D_8 = \langle a, b \mid a^2 = b^2 = (ab)^4=1\rangle?$

Smallest $m$ such that $D_n$ is a subgroup of $S_m$

Subgroup generated by two elements of group.

If $|G|=154$, and it not a direct product, then it must be isomorphic to $D_{154}$.

No subgroup of $D_3$ has order 4.

Finding orbit in a group action of automorphism group of dihedral group on the dihedral group.

Showing that $f(r^k)^{-1}=f(r^k)$, where $f$ is a representation of the dihedral group $D_n$

Listing all subgroups of $D_{10}$

Proving a non-cyclic $G$ has a cyclic subgroup of index $2$ and $G\cong D_k.$

Binary sequences of $a$ zeros and $b$ ones which have $a+b$ circular shifts.

$H,K \leq G$, $|H| = 126, |K| = 228$. Show that $H \cap K \leq G$ is either cyclic or isomorphic to $D_3$

Normalizer of Sylow $2$-subgroup of $D_{2n}$.

Method for classifying irreducible $\mathbb{C}$-representations of $D_{10}$ of dimension $2$

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