List questions from group-actions

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How $G = D_n$ act on $\mathbb{C}^3$?

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Number of conjugates of $(12)(34)(56)(789) \in S_{10}$

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Linear action of group $G$ on vector space $V$

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Number of $S_n$-orbits in $P^k(\{1,\dots,n\})$

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List Question

Free action of a subgroup's normaliser on a set of orbits

Stabilizer in the definition of a Gelfand pair

Left coset as group action on a subgroup

Different ways we can paint the faces of a tetrahedron using $4$ colors

Right action induced by free group homomorphism

Intersection number via tangent spaces

Euler characteristic expression in terms the number of fixed points of an $\mathbb{S}^1$ action

How $G = D_n$ act on $\mathbb{C}^3$?

Number of conjugates of $(12)(34)(56)(789) \in S_{10}$

Compact group acting on regular space

Prove that this group action is continuous from $S\times\Bbb{R}^2\to\Bbb{R}^2$

For a finite group $G$ consider the left action of conjugation of $G$ on itself $·:G×G→G$ given by $g·x=gxg^{-1}$.

Linear action of group $G$ on vector space $V$

Number of $S_n$-orbits in $P^k(\{1,\dots,n\})$

Manifold acted on by every finite group

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