List questions from group-actions

Published on 25 Mar 2026 - 4:39

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Faithful Action using Sylow Subgroups

Published on 26 Mar 2026 - 3:19

58

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Invariant basis of some free $\mathbb{Z}$-module

Published on 25 Mar 2026 - 16:01

163

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block structure of a subgroup

Published on 02 Aug 2019 - 18:32

153

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Show that a primitive group $G$ of degree $> 1$ is not regular if a point stabilizer $G_{ \alpha } $ equals its normalizer $N_{G} (G_{ \alpha } ) $.

Published on 03 Aug 2019 - 18:19

46

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How does $SL_2(\mathbb{R})$ act on the $\infty$ element?

Published on 03 Aug 2019 - 20:15

52

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If $G$ is a group acting on a set $H$, what does it mean for two elements of set $H$ to be "congruent modulo $G$"?

Published on 21 Mar 2026 - 17:55

580

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Orbits of $G$-action on Cartesian product of sets

Published on 04 Aug 2019 - 20:10

494

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Group action is faithful

Published on 26 Mar 2026 - 6:20

454

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Orbits of vectors under the action of $\mathrm{GL}_n(\mathbb Q)$

Published on 08 Aug 2019 - 12:57

20

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Understanding Fuchsian groups and discontinuous actions

Published on 08 Aug 2019 - 22:02

188

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Averaging an almost complex structure over compact Lie group action

Published on 25 Mar 2026 - 11:09

360

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Let group $G$ acts transitively on finite sets $\Omega$ and $\Psi$, with $1<|\Omega|<|\Psi|$. If $G$ is simple, show that $|\Psi|$ cannot be prime.

Published on 13 Aug 2019 - 13:18

61

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Determining structure of group based on its permutation representation.

Published on 13 Aug 2019 - 18:49

102

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The only action is the trivial

Published on 19 Aug 2019 - 15:41

List Question

Quotient of tangent bundle

Faithful Action using Sylow Subgroups

Invariant basis of some free $\mathbb{Z}$-module

block structure of a subgroup

Show that a primitive group $G$ of degree $> 1$ is not regular if a point stabilizer $G_{ \alpha } $ equals its normalizer $N_{G} (G_{ \alpha } ) $.

How does $SL_2(\mathbb{R})$ act on the $\infty$ element?

If $G$ is a group acting on a set $H$, what does it mean for two elements of set $H$ to be "congruent modulo $G$"?

Orbits of $G$-action on Cartesian product of sets

Group action is faithful

Orbits of vectors under the action of $\mathrm{GL}_n(\mathbb Q)$

Understanding Fuchsian groups and discontinuous actions

Averaging an almost complex structure over compact Lie group action

Let group $G$ acts transitively on finite sets $\Omega$ and $\Psi$, with $1<|\Omega|<|\Psi|$. If $G$ is simple, show that $|\Psi|$ cannot be prime.

Determining structure of group based on its permutation representation.

The only action is the trivial

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