Question

How many group actions are there of $Q_8$ on a 4 element set.

score 101 · Answer 1 · 2021-12-24 21:38:04

101

Views

How many group actions are there of $Q_8$ on a 4 element set.

Published on 24 Dec 2021 - 21:38

score 238 · Answer 2 · 2026-03-28 11:33:35

238

Views

Find the upper central series of $Q_{2^n}$.

Published on 28 Mar 2026 - 11:33

score 224 · Answer 3 · 2026-03-29 11:49:53

224

Views

Showing ${\rm Aut}(D_{2^n})\cong{\rm Aut}(Q_{2^n})$ for $n\ge 4$.

Published on 29 Mar 2026 - 11:49

score 145 · Answer 4 · 2026-04-01 13:15:20

145

Views

Rodrigues equation VS Hamilton's quaternions. Historical confusion.

Published on 01 Apr 2026 - 13:15

score 657 · Answer 5 · 2026-02-23 00:30:32

657

Views

Showing ${\rm Aut}(Q_{2^n})\cong{\rm Hol}(\Bbb Z_{2^{n-1}})$ for $n>3$

Published on 23 Feb 2026 - 0:30

score 197 · Answer 6 · 2026-03-25 19:02:56

197

Views

Hopf fibration from $SO(3)$ Lie algebra generators?

Published on 25 Mar 2026 - 19:02

score 169 · Answer 7 · 2026-03-28 13:21:17

169

Views

Each extra-special group of order $2^{2n+1}$ is a central product of $D_8$s or of $D_8$s and a single $Q_8$.

Published on 28 Mar 2026 - 13:21

score 152 · Answer 8 · 2026-03-27 10:08:51

152

Views

general theory of ideal class groups

Published on 27 Mar 2026 - 10:08

score 1.1k · Answer 9 · 2022-01-20 15:39:06

1.1k

Views

Use of the quaternion magnitude

Published on 20 Jan 2022 - 15:39

score 270 · Answer 10 · 2022-01-20 19:52:06

270

Views

How to convert a quaternion in polar form, back to rectangular form?

Published on 20 Jan 2022 - 19:52

score 76 · Answer 11 · 2026-03-25 23:42:43

76

Views

Help with closing this novel proof of the equivalence of oriented Grassmannians $G^+(2, 4)$ and $S^2\times S^2$

Published on 25 Mar 2026 - 23:42

score 31 · Answer 12 · 2022-01-26 20:59:55

31

Views

How to map from one coordinate/rotation system to another?

Published on 26 Jan 2022 - 20:59

score 123 · Answer 13 · 2022-01-27 16:00:55

123

Views

Get location of point in different reference frame using quaternions

Published on 27 Jan 2022 - 16:00

score 83 · Answer 14 · 2022-01-29 12:48:22

83

Views

Classification of unit group of a maximal order of a quaternion algebra

Published on 29 Jan 2022 - 12:48

score 399 · Answer 15 · 2026-02-23 13:40:31

399

Views

Implementation of a constructive algorithm for Deuring's correspondence

Published on 23 Feb 2026 - 13:40

List Question

How many group actions are there of $Q_8$ on a 4 element set.

Find the upper central series of $Q_{2^n}$.

Showing ${\rm Aut}(D_{2^n})\cong{\rm Aut}(Q_{2^n})$ for $n\ge 4$.

Rodrigues equation VS Hamilton's quaternions. Historical confusion.

Showing ${\rm Aut}(Q_{2^n})\cong{\rm Hol}(\Bbb Z_{2^{n-1}})$ for $n>3$

Hopf fibration from $SO(3)$ Lie algebra generators?

Each extra-special group of order $2^{2n+1}$ is a central product of $D_8$s or of $D_8$s and a single $Q_8$.

general theory of ideal class groups

Use of the quaternion magnitude

How to convert a quaternion in polar form, back to rectangular form?

Help with closing this novel proof of the equivalence of oriented Grassmannians $G^+(2, 4)$ and $S^2\times S^2$

How to map from one coordinate/rotation system to another?

Get location of point in different reference frame using quaternions

Classification of unit group of a maximal order of a quaternion algebra

Implementation of a constructive algorithm for Deuring's correspondence

Trending Questions

Popular # Hahtags

Popular Questions