List questions from group-actions

Published on 26 Mar 2026 - 10:59

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Prove that if there is some orbit with exactly one element, then there are at least two orbits with exactly one element.

Published on 09 Dec 2016 - 23:23

123

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Polya's theorem to number of $d$-tuples of integers modulo n

Published on 12 Dec 2016 - 4:01

405

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Transitive group action and meaning of "The usual action of $S_n$"

Published on 12 Dec 2016 - 23:00

768

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Number of orbits and index of a subgroup

Published on 13 Dec 2016 - 11:47

85

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Exercise on group actions

Published on 14 Dec 2016 - 21:42

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Action by a free group that moves given points to other given points

Published on 15 Dec 2016 - 4:48

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Why is there a $z_0\in \mathbb H$, such that $g(z_0)=z_0\implies g=id$?

Published on 28 Mar 2026 - 22:28

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Compute the weights of a $(\mathbb C^*)^{m+1}$-action on $H^0(\mathbb P^m, \mathcal O_{\mathbb P^m}(1))$

Published on 26 Mar 2026 - 9:42

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Group Actions: Orbit Space 2

Published on 20 Dec 2016 - 5:44

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How to use group actions to prove Lagrange's theorem?

Published on 20 Dec 2016 - 12:19

104

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Name for a mixed-associative group action

Published on 29 Dec 2016 - 19:07

957

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$n$-transitivity of $\operatorname{Diff}(M)$ acting on a smooth manifold $M$

Published on 29 Dec 2016 - 22:19

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the weights of the induced $\mathbb C^*$-action on the tangent space to $\mathbb P^m$ at fixed points

Published on 29 Mar 2026 - 3:36

255

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Significance of function spaces on Lie groups, as modules

Published on 07 Jan 2017 - 19:29

List Question

Characterization of strongly transitive monoid actions?

Prove that if there is some orbit with exactly one element, then there are at least two orbits with exactly one element.

Polya's theorem to number of $d$-tuples of integers modulo n

Transitive group action and meaning of "The usual action of $S_n$"

Number of orbits and index of a subgroup

Exercise on group actions

Action by a free group that moves given points to other given points

Why is there a $z_0\in \mathbb H$, such that $g(z_0)=z_0\implies g=id$?

Compute the weights of a $(\mathbb C^*)^{m+1}$-action on $H^0(\mathbb P^m, \mathcal O_{\mathbb P^m}(1))$

Group Actions: Orbit Space 2

How to use group actions to prove Lagrange's theorem?

Name for a mixed-associative group action

$n$-transitivity of $\operatorname{Diff}(M)$ acting on a smooth manifold $M$

the weights of the induced $\mathbb C^*$-action on the tangent space to $\mathbb P^m$ at fixed points

Significance of function spaces on Lie groups, as modules

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