Question

Let $G$ act on set $S$ with $|G|=3^n, |S|=2021$. Prove $\exists s_1,s_2, {\rm Stab}_G(s_1)={\rm Stab}_G(s_2) = G$ not in the same orbit

score 76 · Answer 1 · 2021-04-07 12:23:23

76

Views

Let $G$ act on set $S$ with $|G|=3^n, |S|=2021$. Prove $\exists s_1,s_2, {\rm Stab}_G(s_1)={\rm Stab}_G(s_2) = G$ not in the same orbit

Published on 07 Apr 2021 - 12:23

score 228 · Answer 2 · 2021-04-07 15:41:08

228

Views

Open Orbit of a group action

Published on 07 Apr 2021 - 15:41

score 309 · Answer 3 · 2021-04-10 14:44:40

309

Views

An example of a quotient which is NOT a manifold

Published on 10 Apr 2021 - 14:44

score 438 · Answer 4 · 2021-04-11 06:42:15

438

Views

Groups acting on groups

Published on 11 Apr 2021 - 6:42

score 192 · Answer 5 · 2021-04-13 20:27:06

192

Views

Action of $S^1$ on itself

Published on 13 Apr 2021 - 20:27

score 232 · Answer 6 · 2026-03-29 12:52:53

232

Views

Examples of non-free group actions on trees with finite edge-stabilizers

Published on 29 Mar 2026 - 12:52

score 140 · Answer 7 · 2026-04-02 15:13:03

140

Views

Showing that $(\Bbb C^{n+1} - 0) {/} (\Bbb C - 0) \cong \Bbb C P^n.$

Published on 02 Apr 2026 - 15:13

score 138 · Answer 8 · 2021-04-14 17:42:20

138

Views

The $S^1$ action on $\mathbb{R}^2$

Published on 14 Apr 2021 - 17:42

score 283 · Answer 9 · 2026-03-28 05:22:26

283

Views

Is there a simple interpretation of a ring action like a group or monoid one?

Published on 28 Mar 2026 - 5:22

score 33 · Answer 10 · 2026-03-26 19:05:27

33

Views

Quickly checking associativity of a possible group action

Published on 26 Mar 2026 - 19:05

score 106 · Answer 11 · 2021-04-15 16:54:45

106

Views

Injectivity of the functor from group actions to permutation representations

Published on 15 Apr 2021 - 16:54

score 85 · Answer 12 · 2026-03-29 16:49:48

85

Views

Finite group acting on a smooth manifold $M$ by diffeomorphisms. Fixed Point set is Smooth Manifold

Published on 29 Mar 2026 - 16:49

score 267 · Answer 13 · 2026-03-27 14:39:47

267

Views

Orbit-Stabilizer theorem example

Published on 27 Mar 2026 - 14:39

score 226 · Answer 14 · 2021-04-18 21:54:11

226

Views

Action of alternating group

Published on 18 Apr 2021 - 21:54

score 80 · Answer 15 · 2026-04-07 09:43:11

80

Views

Is there an algebraic characterization of disjoint support in some group action?

Published on 07 Apr 2026 - 9:43

List Question

Let $G$ act on set $S$ with $|G|=3^n, |S|=2021$. Prove $\exists s_1,s_2, {\rm Stab}_G(s_1)={\rm Stab}_G(s_2) = G$ not in the same orbit

Open Orbit of a group action

An example of a quotient which is NOT a manifold

Groups acting on groups

Action of $S^1$ on itself

Examples of non-free group actions on trees with finite edge-stabilizers

Showing that $(\Bbb C^{n+1} - 0) {/} (\Bbb C - 0) \cong \Bbb C P^n.$

The $S^1$ action on $\mathbb{R}^2$

Is there a simple interpretation of a ring action like a group or monoid one?

Quickly checking associativity of a possible group action

Injectivity of the functor from group actions to permutation representations

Finite group acting on a smooth manifold $M$ by diffeomorphisms. Fixed Point set is Smooth Manifold

Orbit-Stabilizer theorem example

Action of alternating group

Is there an algebraic characterization of disjoint support in some group action?

Trending Questions

Popular # Hahtags

Popular Questions