List questions from group-actions

Published on 25 Mar 2026 - 14:22

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Computing the size of the stabilizers when $U(q)$ acts on $\Bbb Z_q$

Published on 18 Feb 2015 - 7:39

769

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How many faces, edges and vertices are fixed when $S_4$ permutes the diagonals of a cube?

Published on 19 Feb 2015 - 4:55

629

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Intuition behind group action on a set

Published on 20 Feb 2015 - 2:18

544

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symmetric group acting on torus

Published on 01 Apr 2026 - 3:41

307

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Group action and Right action

Published on 23 Feb 2015 - 3:19

596

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When are flag manifolds compact?

Published on 25 Mar 2026 - 19:01

557

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If $X$ and $Y$ are g-equivariant homeomorphic then $X/G$ and $Y/G$ are homeomorphic

Published on 29 Mar 2026 - 22:13

340

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The sum of orbit size of some element over the image of group "polynomial"

Published on 01 Apr 2026 - 3:45

379

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Discriminant is the unique invariant of $\text{SL}_2\mathbb{Z}$ acting on polynomials.

Published on 26 Mar 2026 - 13:01

484

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Orbits of a 4x4 checkerboard

Published on 05 Mar 2015 - 22:11

1.1k

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A finite group of order $pq$ cannot be simple.

Published on 29 Mar 2026 - 22:28

1.2k

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Explain why $g(Hx)=H(gx)$ is not an action of a group $G$ on the set of all left cosets of $H$ in $G$

Published on 10 Mar 2015 - 23:15

973

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Let a group G act on a set $X$, and suppose that $x,y \in X$ lie in the same orbit. Prove that $G_y=g^{-1}G_xg$ for some $g \in G$

Published on 11 Mar 2015 - 20:44

253

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Role of Group actions in Differential Geometry

Published on 12 Mar 2015 - 11:21

List Question

Poisson actions defined in terms of coactions.

Computing the size of the stabilizers when $U(q)$ acts on $\Bbb Z_q$

How many faces, edges and vertices are fixed when $S_4$ permutes the diagonals of a cube?

Intuition behind group action on a set

symmetric group acting on torus

Group action and Right action

When are flag manifolds compact?

If $X$ and $Y$ are g-equivariant homeomorphic then $X/G$ and $Y/G$ are homeomorphic

The sum of orbit size of some element over the image of group "polynomial"

Discriminant is the unique invariant of $\text{SL}_2\mathbb{Z}$ acting on polynomials.

Orbits of a 4x4 checkerboard

A finite group of order $pq$ cannot be simple.

Explain why $g(Hx)=H(gx)$ is not an action of a group $G$ on the set of all left cosets of $H$ in $G$

Let a group G act on a set $X$, and suppose that $x,y \in X$ lie in the same orbit. Prove that $G_y=g^{-1}G_xg$ for some $g \in G$

Role of Group actions in Differential Geometry

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