Question

If $G$ acts non-trivially on a set then it has a proper normal subgroup of finite index

score 492 · Answer 1 · 2026-04-01 19:09:49

492

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If $G$ acts non-trivially on a set then it has a proper normal subgroup of finite index

Published on 01 Apr 2026 - 19:09

score 64 · Answer 2 · 2015-05-04 20:34:59

64

Views

Is this an action of $S_{n}$ on $\mathbb{R}_{n}$?

Published on 04 May 2015 - 20:34

score 974 · Answer 3 · 2026-04-01 08:24:59

974

Views

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

Published on 01 Apr 2026 - 8:24

score 1.8k · Answer 4 · 2026-03-27 05:58:04

1.8k

Views

Group of $2n$ elements, $n$ odd, is not simple

Published on 27 Mar 2026 - 5:58

score 226 · Answer 5 · 2015-05-08 01:54:25

226

Views

Image of homomorphism that acts transitively and contains the stabilizer is surjective.

Published on 08 May 2015 - 1:54

score 197 · Answer 6 · 2026-03-27 06:17:10

197

Views

Action of $SL_2(p)$ on intgers mod p by Möbius transformations

Published on 27 Mar 2026 - 6:17

score 9.1k · Answer 7 · 2015-05-15 23:20:26

9.1k

Views

Volume form on $(n-1)$-sphere $S^{n-1}$

Published on 15 May 2015 - 23:20

score 1.3k · Answer 8 · 2026-04-01 08:23:15

1.3k

Views

Group acting on its set of subgroups by conjugation

Published on 01 Apr 2026 - 8:23

score 70 · Answer 9 · 2015-05-19 23:07:21

70

Views

Deriving that center is subset of centralizer(using group actions only)

Published on 19 May 2015 - 23:07

score 189 · Answer 10 · 2015-05-21 03:13:32

189

Views

How many connected components does the punctured cone of isotropic vectors have?

Published on 21 May 2015 - 3:13

score 80 · Answer 11 · 2015-05-23 19:09:28

80

Views

Showing the action of $SO(p,q)$ in the punctured cone of isotropic vectors is transitive

Published on 23 May 2015 - 19:09

score 1.9k · Answer 12 · 2026-03-28 00:50:22

1.9k

Views

Is there a "ping-pong lemma proof" that $\langle x \mapsto x+1,x \mapsto x^3 \rangle$ is a free group of rank 2?

Published on 28 Mar 2026 - 0:50

score 734 · Answer 13 · 2026-03-25 04:42:31

734

Views

The action of the orthogonal group $O_n(\mathbb{R})$ on the Stiefel manifold $V_{k,n}(\mathbb{R}) $ .

Published on 25 Mar 2026 - 4:42

score 237 · Answer 14 · 2015-05-26 12:46:21

237

Views

Identification of the Lie algebra of an isotropy group with the tangent space - stuck with a statement

Published on 26 May 2015 - 12:46

score 1k · Answer 15 · 2026-03-31 11:23:48

1k

Views

Finite groups whose non-trivial elements have no fixed points

Published on 31 Mar 2026 - 11:23

List Question

If $G$ acts non-trivially on a set then it has a proper normal subgroup of finite index

Is this an action of $S_{n}$ on $\mathbb{R}_{n}$?

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

Group of $2n$ elements, $n$ odd, is not simple

Image of homomorphism that acts transitively and contains the stabilizer is surjective.

Action of $SL_2(p)$ on intgers mod p by Möbius transformations

Volume form on $(n-1)$-sphere $S^{n-1}$

Group acting on its set of subgroups by conjugation

Deriving that center is subset of centralizer(using group actions only)

How many connected components does the punctured cone of isotropic vectors have?

Showing the action of $SO(p,q)$ in the punctured cone of isotropic vectors is transitive

Is there a "ping-pong lemma proof" that $\langle x \mapsto x+1,x \mapsto x^3 \rangle$ is a free group of rank 2?

The action of the orthogonal group $O_n(\mathbb{R})$ on the Stiefel manifold $V_{k,n}(\mathbb{R}) $ .

Identification of the Lie algebra of an isotropy group with the tangent space - stuck with a statement

Finite groups whose non-trivial elements have no fixed points

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