List questions from group-actions

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Homomorphism between finite group and permutation group

Published on 21 Dec 2017 - 17:06

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Number of fixed vectors in group action

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Stabilizers must be of the same order

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Orbits of group $G$ acting on $X$

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Prove $A=\{g\in G: |g^G|< \infty \}$ is a characteristic subgroup of $G$

Published on 26 Dec 2017 - 18:08

100

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If $G \le S_n$ then $G/Z(G) \hookrightarrow S_{n^2}$

Published on 28 Dec 2017 - 8:20

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Is $G_i$ normal in $G_k$?

Published on 04 Apr 2026 - 18:52

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Show that the index of a normal subgroup is the index of its intersection with a stabilizer in the stabilizer.

Published on 29 Dec 2017 - 23:47

724

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How to prove that maximal normal solvable subgroup of $G \le S_n$ is unique?

Published on 30 Dec 2017 - 6:38

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Effective torus action on a symplectic manifold

Published on 30 Mar 2026 - 13:53

915

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Infinite group acts on a set such that an orbit of any length exists.

Published on 07 Jan 2018 - 20:53

761

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Does faithfull action of abelian group always has regular orbit?

Published on 08 Jan 2018 - 8:02

91

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G is a group and it acts on X

Published on 12 Jan 2018 - 8:29

376

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Intuition behind the example of a group action by $\mathbb S^1$ on the sphere $\mathbb S^2$

Published on 12 Jan 2018 - 15:07

List Question

Orbit space of double torus is triple projective space

Homomorphism between finite group and permutation group

Number of fixed vectors in group action

Stabilizers must be of the same order

Orbits of group $G$ acting on $X$

Prove $A=\{g\in G: |g^G|< \infty \}$ is a characteristic subgroup of $G$

If $G \le S_n$ then $G/Z(G) \hookrightarrow S_{n^2}$

Is $G_i$ normal in $G_k$?

Show that the index of a normal subgroup is the index of its intersection with a stabilizer in the stabilizer.

How to prove that maximal normal solvable subgroup of $G \le S_n$ is unique?

Effective torus action on a symplectic manifold

Infinite group acts on a set such that an orbit of any length exists.

Does faithfull action of abelian group always has regular orbit?

G is a group and it acts on X

Intuition behind the example of a group action by $\mathbb S^1$ on the sphere $\mathbb S^2$

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