List questions from group-actions

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List Question

Stabilizer of orthogonal group acting on plane

Group actions: What are they?

Using group action to study size of product of two subgroups

Using Group Actions to Show a Subset is a Subgroup

Transitive subgroup of symmetric group

A normal subgroup with an additional property

Find the orbits of the action of $\mathrm{Aut}(G)$ on $G$.

Moment map of isometries on Kähler manifolds

A subgroup having index $n$ containing no normal subgroup is isomorphic to $S(n)$

Primitive action of direct product

Can a group G generated by $k$ elements act properly discontinuously freely and cocompactly on $\mathbb{R}^n$, for $n > k$

show that $SL(2, \mathbb{Z}) \backslash SL(2, \mathbb{R})$ is not compact

Counting Group Actions from a Finite Group to Itself

Well-definedness of a group action

Induced homomorphism $d\rho:\mathfrak{spin}(V)\rightarrow \mathfrak{so}(V)$

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