Question

Does an effective group action on a compact manifold has $G$ as an orbit?

score 89 · Answer 1 · 2018-05-06 18:28:27

89

Views

Does an effective group action on a compact manifold has $G$ as an orbit?

Published on 06 May 2018 - 18:28

score 616 · Answer 2 · 2018-05-10 08:16:09

616

Views

Show that $G\neq\bigcup_{g\in G}gHg^{-1}$ for any $H\subsetneq G$

Published on 10 May 2018 - 8:16

score 70 · Answer 3 · 2026-03-25 04:25:16

70

Views

Prove that G contains at least |X| − 1 fixed-point-free elements, i.e., elements g such that Fix(g) is empty.

Published on 25 Mar 2026 - 4:25

score 110 · Answer 4 · 2026-03-17 21:46:14

110

Views

Invariants of $\mathbb{Z}[x, x^{-1}, y, y^{-1}]$ under actions of finite subgroups in $\text{GL}(2, \mathbb{Z})$

Published on 17 Mar 2026 - 21:46

score 84 · Answer 5 · 2018-05-17 00:14:30

84

Views

The orbit of endomorphisms on a projective space

Published on 17 May 2018 - 0:14

score 71 · Answer 6 · 2018-05-19 11:53:39

71

Views

element of a group stabilizes some element of a set

Published on 19 May 2018 - 11:53

score 92 · Answer 7 · 2018-05-21 03:12:29

92

Views

Is there a nontrivial action of $\mathbb{Z}/3$ on $\mathbb{Z}$ as automorphisms?

Published on 21 May 2018 - 3:12

score 130 · Answer 8 · 2018-05-23 12:08:37

130

Views

Equivalent definition of proper action with sequences

Published on 23 May 2018 - 12:08

score 839 · Answer 9 · 2018-05-23 19:35:19

839

Views

Orbit of a matrix can generates a basis?

Published on 23 May 2018 - 19:35

score 193 · Answer 10 · 2018-05-24 14:44:16

193

Views

Cohomology classes of regular level sets of moment maps

Published on 24 May 2018 - 14:44

score 58 · Answer 11 · 2026-03-25 05:41:33

58

Views

Isometric action of $SL_{2}(\mathbb{R})$ on a metric space and fixed point

Published on 25 Mar 2026 - 5:41

score 258 · Answer 12 · 2018-05-30 16:01:45

258

Views

$G$-set isomorphisms for free action on some product

Published on 30 May 2018 - 16:01

score 201 · Answer 13 · 2026-03-25 05:02:13

201

Views

How to arrive at this quotient topology on an orbit space?

Published on 25 Mar 2026 - 5:02

score 23 · Answer 14 · 2018-06-02 19:37:52

23

Views

Freeness of an action of $G$ on $X\leftrightarrow$ freeness of some $\mathbb Z[G]$-module?

Published on 02 Jun 2018 - 19:37

score 55 · Answer 15 · 2018-06-07 19:13:39

55

Views

Proving that the group action of $\mathbb{Z_p}$ over a set $X$ is well defined

Published on 07 Jun 2018 - 19:13

List Question

Does an effective group action on a compact manifold has $G$ as an orbit?

Show that $G\neq\bigcup_{g\in G}gHg^{-1}$ for any $H\subsetneq G$

Prove that G contains at least |X| − 1 fixed-point-free elements, i.e., elements g such that Fix(g) is empty.

Invariants of $\mathbb{Z}[x, x^{-1}, y, y^{-1}]$ under actions of finite subgroups in $\text{GL}(2, \mathbb{Z})$

The orbit of endomorphisms on a projective space

element of a group stabilizes some element of a set

Is there a nontrivial action of $\mathbb{Z}/3$ on $\mathbb{Z}$ as automorphisms?

Equivalent definition of proper action with sequences

Orbit of a matrix can generates a basis?

Cohomology classes of regular level sets of moment maps

Isometric action of $SL_{2}(\mathbb{R})$ on a metric space and fixed point

$G$-set isomorphisms for free action on some product

How to arrive at this quotient topology on an orbit space?

Freeness of an action of $G$ on $X\leftrightarrow$ freeness of some $\mathbb Z[G]$-module?

Proving that the group action of $\mathbb{Z_p}$ over a set $X$ is well defined

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