List questions from group-actions

Published on 08 Apr 2026 - 19:53

60

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Group actions on Cartesian Product of a path and a cycle

Published on 28 Mar 2026 - 0:30

112

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If $G$ acts transitively on $X$, show for some $x \in X$, $|G_x| = |G| / |X|$.

Published on 19 Apr 2022 - 20:10

56

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Exponential notation for Galois group and egality

Published on 30 Mar 2026 - 1:46

126

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Action of a map on homology

Published on 01 Apr 2026 - 12:49

74

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(When) does a group action generate a basis of a topological space by refinements of open covers?

Published on 24 Feb 2026 - 11:39

34

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Let $S$ be any non-empty subset of a group $G$. Does there exists a UNIQUE MAXIMAL subgroup $H$ such that $S$ is union of (some) left cosets of $H$?

Published on 25 Mar 2026 - 17:26

85

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Action of the normalizer of the complement

Published on 26 Mar 2026 - 12:35

86

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Equivariant maps up to homotopy

Published on 09 Apr 2026 - 8:13

193

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Points stabilised by conjugate of a group

Published on 25 Mar 2026 - 23:38

46

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If $G$ is a transitive permutation group of even degree $>2$, then 4 divides $|G|$.

Published on 29 Apr 2022 - 9:23

52

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Abelian group of order $pq$ is a subgroup of $S_{p+q}$

Published on 08 Apr 2026 - 14:34

31

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Formula for the number of ways to choose $n$ digits from $k$ possible digits such that the selection contains no repeats under permutation

Published on 29 Mar 2026 - 13:23

93

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Does the dualizing sheaf on the nodal rational curve not admit a $\mathbb G_m$-linearization?

Published on 25 Mar 2026 - 20:42

58

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$\mathbb{Z}$ as $\mathbb{Z}G$ - module.

Published on 26 Mar 2026 - 19:15

List Question

How to determine the closure of $\mathcal{O}_A$?

Group actions on Cartesian Product of a path and a cycle

If $G$ acts transitively on $X$, show for some $x \in X$, $|G_x| = |G| / |X|$.

Exponential notation for Galois group and egality

Action of a map on homology

(When) does a group action generate a basis of a topological space by refinements of open covers?

Let $S$ be any non-empty subset of a group $G$. Does there exists a UNIQUE MAXIMAL subgroup $H$ such that $S$ is union of (some) left cosets of $H$?

Action of the normalizer of the complement

Equivariant maps up to homotopy

Points stabilised by conjugate of a group

If $G$ is a transitive permutation group of even degree $>2$, then 4 divides $|G|$.

Abelian group of order $pq$ is a subgroup of $S_{p+q}$

Formula for the number of ways to choose $n$ digits from $k$ possible digits such that the selection contains no repeats under permutation

Does the dualizing sheaf on the nodal rational curve not admit a $\mathbb G_m$-linearization?

$\mathbb{Z}$ as $\mathbb{Z}G$ - module.

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