Question

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

score 269 · Answer 1 · 2019-05-15 12:07:21

269

Views

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

Published on 15 May 2019 - 12:07

score 58 · Answer 2 · 2023-03-23 23:53:28

58

Views

Fixed Sets and Stabilizer

Published on 23 Mar 2023 - 23:53

score 167 · Answer 3 · 2023-04-13 22:04:29

167

Views

Stabilizer of a finite subset divides order of subset

Published on 13 Apr 2023 - 22:04

score 66 · Answer 4 · 2023-05-08 11:45:28

66

Views

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

Published on 08 May 2023 - 11:45

score 212 · Answer 5 · 2023-05-26 10:43:45

212

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 26 May 2023 - 10:43

score 66 · Answer 6 · 2023-05-26 12:54:39

66

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 26 May 2023 - 12:54

score 104 · Answer 7 · 2023-10-05 00:15:49

104

Views

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

Published on 05 Oct 2023 - 0:15

score 89 · Answer 8 · 2023-10-10 11:51:18

89

Views

Logarithms, Orbit-Stabilizer Theorem and Rank-Nullity Theorem

Published on 10 Oct 2023 - 11:51

score 74 · Answer 9 · 2023-10-14 18:12:39

74

Views

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

Published on 14 Oct 2023 - 18:12

score 206 · Answer 10 · 2023-11-03 13:22:20

206

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 03 Nov 2023 - 13:22

score 35 · Answer 11 · 2024-02-04 13:37:10

35

Views

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

Published on 04 Feb 2024 - 13:37

score 197 · Answer 12 · 2024-02-16 18:26:22

197

Views

What exactly is the orbit-stabilizer theorem?

Published on 16 Feb 2024 - 18:26

score 144 · Answer 13 · 2022-04-08 20:59:27

144

Views

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

Published on 08 Apr 2022 - 20:59

score 50 · Answer 14 · 2022-04-09 15:21:28

50

Views

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

Published on 09 Apr 2022 - 15:21

score 124 · Answer 15 · 2022-06-09 15:39:19

124

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 09 Jun 2022 - 15:39

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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