List questions from group-actions

Published on 18 Apr 2020 - 17:56

53

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Unusual action of $\text{SL}(2,\Bbb Z)$. Finding the invariant subspaces.

Published on 26 Mar 2026 - 17:35

515

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Interpreting a Group Action as a Functor

Published on 26 Mar 2026 - 1:27

172

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Group action a Compact Hausdorff space

Published on 23 Apr 2020 - 9:27

48

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Prove that the number of subgroups of $G$ with order $p^r$ is equivalent to $1 \pmod{p}$ by using group action.

Published on 28 Mar 2026 - 4:35

165

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Proving a transitive group action has an element acting without any fixed points, without Burnside's lemma

Published on 25 Apr 2020 - 0:03

70

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Verify that a submanifold is Poisson

Published on 27 Mar 2026 - 7:00

207

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Why are faithful actions called faithful and who first called them faithful?

Published on 27 Apr 2020 - 20:19

48

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Common open neighborhood as preimage of open neighborhood under continuous group action

Published on 27 Mar 2026 - 14:55

19

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Denseness along integer action versus denseness along polynomial action

Published on 27 Mar 2026 - 14:50

86

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Group action of a Fuchsian group on the upper half plane

Published on 28 Mar 2026 - 0:56

384

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Characterization of Fuchsian groups containing hyperbolic elements

Published on 26 Mar 2026 - 1:07

215

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Continuous action of a connected topological group on a discrete space is trivial

Published on 27 Mar 2026 - 14:52

122

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Evenly generated Fuchsian groups

Published on 27 Mar 2026 - 23:12

197

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Fiber bundle $S^{3} \to S^{7} \to \mathbb{H}P^{1}$

Published on 26 Mar 2026 - 20:39

List Question

SL(2,n) transitivity

Unusual action of $\text{SL}(2,\Bbb Z)$. Finding the invariant subspaces.

Interpreting a Group Action as a Functor

Group action a Compact Hausdorff space

Prove that the number of subgroups of $G$ with order $p^r$ is equivalent to $1 \pmod{p}$ by using group action.

Proving a transitive group action has an element acting without any fixed points, without Burnside's lemma

Verify that a submanifold is Poisson

Why are faithful actions called faithful and who first called them faithful?

Common open neighborhood as preimage of open neighborhood under continuous group action

Denseness along integer action versus denseness along polynomial action

Group action of a Fuchsian group on the upper half plane

Characterization of Fuchsian groups containing hyperbolic elements

Continuous action of a connected topological group on a discrete space is trivial

Evenly generated Fuchsian groups

Fiber bundle $S^{3} \to S^{7} \to \mathbb{H}P^{1}$

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