List questions from group-actions

Published on 22 Mar 2026 - 8:00

396

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Showing a group G acts on itself by right multiplication

Published on 20 Mar 2026 - 15:44

169

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$N\trianglelefteq G$, $A$ a conjugacy class in $G$ such that $A\subseteq N$, prove $A$ is a union of conjugacy classes

Published on 20 Mar 2026 - 13:11

680

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Show that the additive group $\mathbb{Z}$ acts on itself by $xy = x+y$ and find all $x\in\mathbb{Z}$ such that $xy = y$ for all $y\in\mathbb{Z}$.

Published on 23 Mar 2026 - 11:09

65

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Number of different k-coloring of an $n\times m$ grid up to rows and columns permutations

Published on 23 Mar 2026 - 0:21

54

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How to embed $F_q^\times $ in $S_n$?

Published on 20 Mar 2026 - 0:40

72

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orbit representatives for the group of unipotent matrix acting on the set of skew-symmetric matrices

Published on 17 Mar 2026 - 12:54

72

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$S_n$ right-action on $V^{\otimes n}$

Published on 20 Mar 2026 - 23:34

788

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Interpretation of wreath products in general and on symmetric groups

Published on 22 Mar 2026 - 11:32

56

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Regarding action of a group factoring through

Published on 20 Mar 2026 - 1:40

258

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Fuchsian group acts properly discontinuously, Orbit Space is a Riemann Surface

Published on 20 Mar 2026 - 8:53

26

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When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

Published on 22 Mar 2026 - 10:30

118

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Transitive action

Published on 22 Mar 2026 - 9:18

93

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Continuity of a real function defined on an orbit space

Published on 22 Mar 2026 - 9:01

114

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Show that $A_5$ has no subgroup of order $20$.

Published on 22 Mar 2026 - 5:39

List Question

Orbit counting lemma hexagon

Showing a group G acts on itself by right multiplication

$N\trianglelefteq G$, $A$ a conjugacy class in $G$ such that $A\subseteq N$, prove $A$ is a union of conjugacy classes

Show that the additive group $\mathbb{Z}$ acts on itself by $xy = x+y$ and find all $x\in\mathbb{Z}$ such that $xy = y$ for all $y\in\mathbb{Z}$.

Number of different k-coloring of an $n\times m$ grid up to rows and columns permutations

How to embed $F_q^\times $ in $S_n$?

orbit representatives for the group of unipotent matrix acting on the set of skew-symmetric matrices

$S_n$ right-action on $V^{\otimes n}$

Interpretation of wreath products in general and on symmetric groups

Regarding action of a group factoring through

Fuchsian group acts properly discontinuously, Orbit Space is a Riemann Surface

When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

Transitive action

Continuity of a real function defined on an orbit space

Show that $A_5$ has no subgroup of order $20$.

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