Question

Is there any difference between $X\times^G Y$ and $X\times_G Y$?

score 75 · Answer 1 · 2020-09-13 20:41:22

75

Views

Is there any difference between $X\times^G Y$ and $X\times_G Y$?

Published on 13 Sep 2020 - 20:41

score 36 · Answer 2 · 2020-09-14 11:37:03

36

Views

How do I engineer the equivalence of graph-connectedness of an orbit and topological space connectedness?

Published on 14 Sep 2020 - 11:37

score 159 · Answer 3 · 2026-04-06 07:37:54

159

Views

Prove by group actions that there doesn't exist any normal subgroup $H$ such that $S_5/H $ is isomorphic to $S_4$

Published on 06 Apr 2026 - 7:37

score 129 · Answer 4 · 2020-09-15 09:00:53

129

Views

general linear group $GL_{2}(\mathbb{Z}_3).$

Published on 15 Sep 2020 - 9:00

score 162 · Answer 5 · 2026-03-30 05:31:59

162

Views

Group Action from to Subgroup to Group: Care in Differentiating Between Binary Op., Group Action Op.

Published on 30 Mar 2026 - 5:31

score 156 · Answer 6 · 2026-04-03 00:22:04

156

Views

Prove that a map is one-to-one if $G$ is finite group and $H$ and $K$ are its subgroups

Published on 03 Apr 2026 - 0:22

score 1.3k · Answer 7 · 2020-09-20 19:49:27

1.3k

Views

Orbits and stabilizers of the permutation group.

Published on 20 Sep 2020 - 19:49

score 156 · Answer 8 · 2020-09-21 22:36:53

156

Views

Transitive subgroup of $S_n$ that has order n and consists of derangement.

Published on 21 Sep 2020 - 22:36

score 264 · Answer 9 · 2026-03-28 20:57:06

264

Views

Understanding how reflection acts on rotation in $D_{6}.$

Published on 28 Mar 2026 - 20:57

score 124 · Answer 10 · 2026-03-28 15:25:58

124

Views

Understanding why proving a hint will prove that $D_{6} \cong S_{3} \times \mathbb{Z}_{2}.$

Published on 28 Mar 2026 - 15:25

score 790 · Answer 11 · 2020-09-26 21:15:26

790

Views

Group Action notation and understanding

Published on 26 Sep 2020 - 21:15

score 62 · Answer 12 · 2026-03-29 09:08:31

62

Views

GAP computational group action question

Published on 29 Mar 2026 - 9:08

score 74 · Answer 13 · 2026-03-31 08:15:59

74

Views

Automorphism of $\mathbb{H}$ uniquely determined by a point of $\mathbb{H}$ and a point of $\partial \mathbb{H}$

Published on 31 Mar 2026 - 8:15

score 627 · Answer 14 · 2026-03-28 15:20:30

627

Views

Why is this quotient of the punctured plane not Hausdorff (Hatcher 1.3.25)?

Published on 28 Mar 2026 - 15:20

score 482 · Answer 15 · 2026-04-03 15:36:27

482

Views

A question about Hausdorff quotient by Group Action. Also, there are some very related material in Lee's book.

Published on 03 Apr 2026 - 15:36

List Question

Is there any difference between $X\times^G Y$ and $X\times_G Y$?

How do I engineer the equivalence of graph-connectedness of an orbit and topological space connectedness?

Prove by group actions that there doesn't exist any normal subgroup $H$ such that $S_5/H $ is isomorphic to $S_4$

general linear group $GL_{2}(\mathbb{Z}_3).$

Group Action from to Subgroup to Group: Care in Differentiating Between Binary Op., Group Action Op.

Prove that a map is one-to-one if $G$ is finite group and $H$ and $K$ are its subgroups

Orbits and stabilizers of the permutation group.

Transitive subgroup of $S_n$ that has order n and consists of derangement.

Understanding how reflection acts on rotation in $D_{6}.$

Understanding why proving a hint will prove that $D_{6} \cong S_{3} \times \mathbb{Z}_{2}.$

Group Action notation and understanding

GAP computational group action question

Automorphism of $\mathbb{H}$ uniquely determined by a point of $\mathbb{H}$ and a point of $\partial \mathbb{H}$

Why is this quotient of the punctured plane not Hausdorff (Hatcher 1.3.25)?

A question about Hausdorff quotient by Group Action. Also, there are some very related material in Lee's book.

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