Question

Is this an appropriate application of the Orbit-Stabilizer Theorem?

score 270 · Answer 1 · 2026-02-23 08:24:25

270

Views

Is this an appropriate application of the Orbit-Stabilizer Theorem?

Published on 23 Feb 2026 - 8:24

score 59 · Answer 2 · 2026-02-23 08:19:24

59

Views

Fixed Sets and Stabilizer

Published on 23 Feb 2026 - 8:19

score 168 · Answer 3 · 2026-02-23 08:25:56

168

Views

Stabilizer of a finite subset divides order of subset

Published on 23 Feb 2026 - 8:25

score 67 · Answer 4 · 2026-02-23 08:27:02

67

Views

Let $|G|=p^a$. Prove that if $|N|=p^{a-1}\Rightarrow N\lhd G$

Published on 23 Feb 2026 - 8:27

score 213 · Answer 5 · 2026-02-23 08:27:43

213

Views

Let $G$ a simple group. Suppose exists a conjugacy class $C$ in $G$ such that $C \neq\{e\}$ is finite. Prove $G$ is finite.

Published on 23 Feb 2026 - 8:27

score 67 · Answer 6 · 2026-02-23 08:28:27

67

Views

Find how many $\tau \in S_{12}$ satisfy $\sigma \tau = \tau \sigma$ for $\sigma = (1\;9\;7\;10\;12\;2\;5)(4\;11)(3\;6\;8) \in S_{12}$

Published on 23 Feb 2026 - 8:28

score 105 · Answer 7 · 2026-02-23 08:27:01

105

Views

In a group, if $g^{-1}h\in S(x)$ (stabilizer), then $gS(x)=hS(x)$ (as left cosets).

Published on 23 Feb 2026 - 8:27

score 90 · Answer 8 · 2026-02-23 08:21:46

90

Views

Logarithms, Orbit-Stabilizer Theorem and Rank-Nullity Theorem

Published on 23 Feb 2026 - 8:21

score 75 · Answer 9 · 2026-02-23 08:27:03

75

Views

How can I calculate the orbit of a group action of a group generated by one element?

Published on 23 Feb 2026 - 8:27

score 207 · Answer 10 · 2026-02-23 08:28:27

207

Views

Let $G$ be a group of order $12$. Show that if $Z(G)$ is non-trivial, then $G$ has a subgroup of order $6$.

Published on 23 Feb 2026 - 8:28

score 36 · Answer 11 · 2026-02-23 08:24:07

36

Views

Can you explain k-orbit polyhedra in a simple way?

Published on 23 Feb 2026 - 8:24

score 198 · Answer 12 · 2026-02-23 08:22:06

198

Views

What exactly is the orbit-stabilizer theorem?

Published on 23 Feb 2026 - 8:22

score 145 · Answer 13 · 2026-02-23 08:25:55

145

Views

Order of Reflection Group of Type $A_n, B_n, C_n$

Published on 23 Feb 2026 - 8:25

score 51 · Answer 14 · 2026-02-23 08:27:04

51

Views

Nonfree orbits of a smooth circle action with finite stabilizers have pairwise coprime orders

Published on 23 Feb 2026 - 8:27

score 125 · Answer 15 · 2026-02-23 08:27:43

125

Views

The number of orbits of $\langle\pi\rangle$ on $\Omega$ is $\frac{1}{m}\sum_{d\mid m}f(\pi^d)\varphi(m/d)$

Published on 23 Feb 2026 - 8:27

List Question

Is this an appropriate application of the Orbit-Stabilizer Theorem?

Fixed Sets and Stabilizer

Stabilizer of a finite subset divides order of subset

Let $|G|=p^a$. Prove that if $|N|=p^{a-1}\Rightarrow N\lhd G$

Let $G$ a simple group. Suppose exists a conjugacy class $C$ in $G$ such that $C \neq\{e\}$ is finite. Prove $G$ is finite.

Find how many $\tau \in S_{12}$ satisfy $\sigma \tau = \tau \sigma$ for $\sigma = (1\;9\;7\;10\;12\;2\;5)(4\;11)(3\;6\;8) \in S_{12}$

In a group, if $g^{-1}h\in S(x)$ (stabilizer), then $gS(x)=hS(x)$ (as left cosets).

Logarithms, Orbit-Stabilizer Theorem and Rank-Nullity Theorem

How can I calculate the orbit of a group action of a group generated by one element?

Let $G$ be a group of order $12$. Show that if $Z(G)$ is non-trivial, then $G$ has a subgroup of order $6$.

Can you explain k-orbit polyhedra in a simple way?

What exactly is the orbit-stabilizer theorem?

Order of Reflection Group of Type $A_n, B_n, C_n$

Nonfree orbits of a smooth circle action with finite stabilizers have pairwise coprime orders

The number of orbits of $\langle\pi\rangle$ on $\Omega$ is $\frac{1}{m}\sum_{d\mid m}f(\pi^d)\varphi(m/d)$

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