Question

How can I calculate the orbit of a group action of a group generated by one element?

score 75 · Answer 1 · 2026-02-23 08:27:03

75

Views

How can I calculate the orbit of a group action of a group generated by one element?

Published on 23 Feb 2026 - 8:27

score 80 · Answer 2 · 2026-03-25 12:50:02

80

Views

Fundamental domains for congruence subgroups $\Gamma_0(N)$ by transformations of the fundamental domain of $SL_2(\mathbb{Z})$

Published on 25 Mar 2026 - 12:50

score 46 · Answer 3 · 2026-03-25 07:43:00

46

Views

Describe morphisms of quotient stacks.

Published on 25 Mar 2026 - 7:43

score 79 · Answer 4 · 2026-03-27 01:54:20

79

Views

How can I prove the transitivity part of the following lemma?

Published on 27 Mar 2026 - 1:54

score 25 · Answer 5 · 2023-10-17 19:30:06

25

Views

Kernel for the map between first Galois cohomology groups

Published on 17 Oct 2023 - 19:30

score 93 · Answer 6 · 2026-03-25 06:27:56

93

Views

Locally free circle actions on Euclidean space

Published on 25 Mar 2026 - 6:27

score 41 · Answer 7 · 2026-03-29 13:40:56

41

Views

A continuous action of a compact topological group on a Hausdorff space is proper

Published on 29 Mar 2026 - 13:40

score 125 · Answer 8 · 2026-03-29 13:40:48

125

Views

If $A : G \times M \rightarrow M$ is a proper action and that $M$ is a metric space, the quotient space $M/G$ is Hausdorff

Published on 29 Mar 2026 - 13:40

score 95 · Answer 9 · 2023-10-23 08:39:39

95

Views

$M/\Bbb R$ is not Hausdorf and becomes a manifold upon removing four well-chosen points, $M = \Bbb R^2 \setminus \{(0; 0)\}$

Published on 23 Oct 2023 - 8:39

score 64 · Answer 10 · 2026-03-25 11:04:54

64

Views

Equivalent of lens spaces $\mathbb{S}^3/\mathbb{Z}_n$ for $\mathbb{S}^7/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(2)$

Published on 25 Mar 2026 - 11:04

score 94 · Answer 11 · 2023-10-23 14:20:51

94

Views

Subgroup of "equivariant" maps?

Published on 23 Oct 2023 - 14:20

score 61 · Answer 12 · 2023-10-24 12:07:39

61

Views

If an equival relation is closed and the projection map into the quotient: $M \mapsto M/G$ is open , $M$ metric $\implies M/G$ is Hausdorff?

Published on 24 Oct 2023 - 12:07

score 76 · Answer 13 · 2023-10-24 14:18:45

76

Views

$\bar b: B/\Bbb R \rightarrow (0,+\infty) $ given by $\bar b(\bar x_1,\bar x_2)=x_1x_2$ is a homeomorphism

Published on 24 Oct 2023 - 14:18

score 67 · Answer 14 · 2023-10-25 18:54:24

67

Views

Action of product of groups gives bijection between $X/(G\times H)$ and $(X/G)/H$.

Published on 25 Oct 2023 - 18:54

score 85 · Answer 15 · 2023-10-26 20:49:02

85

Views

Prove that Steifel Manifold as a Manifold Using Group Action

Published on 26 Oct 2023 - 20:49

List Question

How can I calculate the orbit of a group action of a group generated by one element?

Fundamental domains for congruence subgroups $\Gamma_0(N)$ by transformations of the fundamental domain of $SL_2(\mathbb{Z})$

Describe morphisms of quotient stacks.

How can I prove the transitivity part of the following lemma?

Kernel for the map between first Galois cohomology groups

Locally free circle actions on Euclidean space

A continuous action of a compact topological group on a Hausdorff space is proper

If $A : G \times M \rightarrow M$ is a proper action and that $M$ is a metric space, the quotient space $M/G$ is Hausdorff

$M/\Bbb R$ is not Hausdorf and becomes a manifold upon removing four well-chosen points, $M = \Bbb R^2 \setminus \{(0; 0)\}$

Equivalent of lens spaces $\mathbb{S}^3/\mathbb{Z}_n$ for $\mathbb{S}^7/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(2)$

Subgroup of "equivariant" maps?

If an equival relation is closed and the projection map into the quotient: $M \mapsto M/G$ is open , $M$ metric $\implies M/G$ is Hausdorff?

$\bar b: B/\Bbb R \rightarrow (0,+\infty) $ given by $\bar b(\bar x_1,\bar x_2)=x_1x_2$ is a homeomorphism

Action of product of groups gives bijection between $X/(G\times H)$ and $(X/G)/H$.

Prove that Steifel Manifold as a Manifold Using Group Action

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