Question

Orbit of a symmetric matrix under orthogonal conjugation

score 548 · Answer 1 · 2019-05-23 09:26:11

548

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Orbit of a symmetric matrix under orthogonal conjugation

Published on 23 May 2019 - 9:26

score 91 · Answer 2 · 2026-03-26 22:58:20

91

Views

Show that if $G \leq S_{n} $ has $r$ orbits when acting on $ \{ 1 , \dots , n \} $, then it is generated by at most $n - r $ elements.

Published on 26 Mar 2026 - 22:58

score 58 · Answer 3 · 2019-05-27 13:08:18

58

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If $H\trianglelefteq G$, show that $a\cdot h=aha^{-1}$ (for every $a\in G$ and every $h\in H$) is an action of $G$ on $H$.

Published on 27 May 2019 - 13:08

score 45 · Answer 4 · 2019-05-30 10:48:20

45

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a problem about a generalization of cosets in a group.

Published on 30 May 2019 - 10:48

score 210 · Answer 5 · 2026-03-19 22:44:54

210

Views

Is a free and discrete group action on the plane a covering space action?

Published on 19 Mar 2026 - 22:44

score 61 · Answer 6 · 2019-05-31 08:36:21

61

Views

What group action has $\forall x,y,\exists g:g\cdot x=g\cdot y$?

Published on 31 May 2019 - 8:36

score 281 · Answer 7 · 2026-03-25 21:54:16

281

Views

Different statements of the ping pong lemma

Published on 25 Mar 2026 - 21:54

score 63 · Answer 8 · 2026-03-19 07:58:19

63

Views

A $S^1$ invariant frame on $S^3$

Published on 19 Mar 2026 - 7:58

score 164 · Answer 9 · 2019-06-01 18:53:48

164

Views

Is the quotient $SU(4)/SU(2)$ a well known manifold?

Published on 01 Jun 2019 - 18:53

score 373 · Answer 10 · 2026-03-26 22:53:28

373

Views

Does there exist some sort of classification of incompressible groups?

Published on 26 Mar 2026 - 22:53

score 82 · Answer 11 · 2019-06-05 02:38:38

82

Views

Alternating groups of order n, group action on set of m elements

Published on 05 Jun 2019 - 2:38

score 163 · Answer 12 · 2026-03-25 23:36:48

163

Views

Does a group act on the closure of its orbits?

Published on 25 Mar 2026 - 23:36

score 74 · Answer 13 · 2019-06-09 17:42:30

74

Views

what is the action of $\operatorname{Aut}(\mathbb{Z})$ on $\mathbb{C}^n$

Published on 09 Jun 2019 - 17:42

score 46 · Answer 14 · 2026-03-26 11:04:28

46

Views

If $ E \rightarrow X $ is a covering, then $ |\pi_1 (X)|$ divides to $ \chi (E) $

Published on 26 Mar 2026 - 11:04

score 359 · Answer 15 · 2019-06-11 22:44:20

359

Views

Normalizer of group action

Published on 11 Jun 2019 - 22:44

List Question

Orbit of a symmetric matrix under orthogonal conjugation

Show that if $G \leq S_{n} $ has $r$ orbits when acting on $ \{ 1 , \dots , n \} $, then it is generated by at most $n - r $ elements.

If $H\trianglelefteq G$, show that $a\cdot h=aha^{-1}$ (for every $a\in G$ and every $h\in H$) is an action of $G$ on $H$.

a problem about a generalization of cosets in a group.

Is a free and discrete group action on the plane a covering space action?

What group action has $\forall x,y,\exists g:g\cdot x=g\cdot y$?

Different statements of the ping pong lemma

A $S^1$ invariant frame on $S^3$

Is the quotient $SU(4)/SU(2)$ a well known manifold?

Does there exist some sort of classification of incompressible groups?

Alternating groups of order n, group action on set of m elements

Does a group act on the closure of its orbits?

what is the action of $\operatorname{Aut}(\mathbb{Z})$ on $\mathbb{C}^n$

If $ E \rightarrow X $ is a covering, then $ |\pi_1 (X)|$ divides to $ \chi (E) $

Normalizer of group action

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