Question

How many reflection subgroups are in $D_{2n}$?

score 771 · Answer 1 · 2026-03-26 04:29:44

771

Views

How many reflection subgroups are in $D_{2n}$?

Published on 26 Mar 2026 - 4:29

score 493 · Answer 2 · 2017-06-06 09:53:34

493

Views

If $ |G|=2 p$ then either $G$ is cyclic or $G \cong D_{2\cdot p}$

Published on 06 Jun 2017 - 9:53

score 93 · Answer 3 · 2017-06-11 08:42:02

93

Views

Finding Homomorphisms

Published on 11 Jun 2017 - 8:42

score 190 · Answer 4 · 2017-06-23 16:06:56

190

Views

Determining the number of conjugacy classes of $D_{2n}$ for $n$ even and for $n$ odd

Published on 23 Jun 2017 - 16:06

score 50 · Answer 5 · 2017-06-29 05:37:34

50

Views

Showing $r^{n/2} \in D_{2n}$ commutes with $f$ (where $n \equiv 0 \text { mod }2$)

Published on 29 Jun 2017 - 5:37

score 522 · Answer 6 · 2026-03-27 22:01:37

522

Views

Direct product of $D2$ and $D3$

Published on 27 Mar 2026 - 22:01

score 189 · Answer 7 · 2017-07-17 22:42:04

189

Views

Dihedral Groups of even order

Published on 17 Jul 2017 - 22:42

score 1.2k · Answer 8 · 2017-07-20 23:24:45

1.2k

Views

Show that the additive group $\mathbb R$ acts on the $x, y$ plane $\mathbb R \times \mathbb R$ by $r\cdot (x, y)=(x+ry,y)$.

Published on 20 Jul 2017 - 23:24

score 2.7k · Answer 9 · 2017-07-22 21:46:26

2.7k

Views

Dihedral Group of Order 12 in Cycle Notation

Published on 22 Jul 2017 - 21:46

score 243 · Answer 10 · 2017-07-26 17:18:00

243

Views

What are the left cosets of $ D_{8} $ with respect to the subgroup $H=\langle a^2\rangle$?

Published on 26 Jul 2017 - 17:18

score 304 · Answer 11 · 2026-03-27 17:06:05

304

Views

Showing that the dihedral group $D_n = \{a^i b^j \mid 0 <i <6, \ 0 <j< 2 \}$ quotiented by $\langle a^k \rangle$ is isomorphic to $D_k$

Published on 27 Mar 2026 - 17:06

score 374 · Answer 12 · 2017-08-02 17:36:04

374

Views

Help with understanding proof: every group of order 6 is cclic or dihedral.

Published on 02 Aug 2017 - 17:36

score 1.6k · Answer 13 · 2017-08-14 19:28:15

1.6k

Views

The group of symmetries of the regular pentagram is isomorphic to what. (Math GRE exam 0568 Q.60)

Published on 14 Aug 2017 - 19:28

score 589 · Answer 14 · 2017-08-18 16:55:27

589

Views

Why are Transpositions and rotations in dihedral groups the same operation?

Published on 18 Aug 2017 - 16:55

score 476 · Answer 15 · 2017-08-25 07:23:39

476

Views

Expressing dihedral group as internal direct product of normal subgroups

Published on 25 Aug 2017 - 7:23

List Question

How many reflection subgroups are in $D_{2n}$?

If $ |G|=2 p$ then either $G$ is cyclic or $G \cong D_{2\cdot p}$

Finding Homomorphisms

Determining the number of conjugacy classes of $D_{2n}$ for $n$ even and for $n$ odd

Showing $r^{n/2} \in D_{2n}$ commutes with $f$ (where $n \equiv 0 \text { mod }2$)

Direct product of $D2$ and $D3$

Dihedral Groups of even order

Show that the additive group $\mathbb R$ acts on the $x, y$ plane $\mathbb R \times \mathbb R$ by $r\cdot (x, y)=(x+ry,y)$.

Dihedral Group of Order 12 in Cycle Notation

What are the left cosets of $ D_{8} $ with respect to the subgroup $H=\langle a^2\rangle$?

Showing that the dihedral group $D_n = \{a^i b^j \mid 0 <i <6, \ 0 <j< 2 \}$ quotiented by $\langle a^k \rangle$ is isomorphic to $D_k$

Help with understanding proof: every group of order 6 is cclic or dihedral.

The group of symmetries of the regular pentagram is isomorphic to what. (Math GRE exam 0568 Q.60)

Why are Transpositions and rotations in dihedral groups the same operation?

Expressing dihedral group as internal direct product of normal subgroups

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