New posts in group-actions

Proving that a group acting freely on a tree is a free group

Concrete examples of group actions.

Semidirect product action and its geometry

The unique closed orbit in GIT quotient fibers for polynomial actions of Gl

Prove that a non-abelian group of order $pq$ ($p<q$) has a nonnormal subgroup of index $q$

About actions of ${\rm Aut}(G)$, conjugacy classes and inner automorphisms of said group

Kernel of Group Action

Quotient space of $\Bbb C^n$ obtained by action of $S_n$

Smoothness of a G-invariant K-form

The order of a conjugacy class is bounded by the index of the center

$S_3$ acting on a subgroup -- confirming my computation is correct

Ergodic action of a group

Is the symmetry group of a compact subset of $\mathbb{R}^n$ closed?

Difficulty showing that a group $G$ applied on $X$, $G_x$ ($x \in X$) & $G_y$, w/ $y \in G(x)$ are same iff $G_x$ is a normal subgroup of $G$. [duplicate]

For an action of $G$ on a set, every point of some orbit has the same stabilizer if and only if this stabilizer is a normal subgroup.

Is the fixed point set of an action a submanifold?

Do we gain anything interesting if the stabilizer subgroup of a point is normal?

A group acting on a $p$-group

What does it mean that "the action of $\mathbb{Z}$ on $M$ factors through the quotient $\mathbb{Z}/p^n \mathbb{Z}$"?

Is $GL_2(\mathbb Z)\cdot X$ a dense subset of $\mathbb R^2$?