Question

Invertible matrices acting on set of subspaces of the same dimension

score 37 · Answer 1 · 2026-03-25 22:04:20

37

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Invertible matrices acting on set of subspaces of the same dimension

Published on 25 Mar 2026 - 22:04

score 42 · Answer 2 · 2024-01-26 15:33:00

42

Views

What does it mean Modulo the action of $\mathbb{C}^*$ in this statement?

Published on 26 Jan 2024 - 15:33

score 41 · Answer 3 · 2024-01-28 10:29:48

41

Views

Group action candidate on a set and necessity of the inverse permutation

Published on 28 Jan 2024 - 10:29

score 74 · Answer 4 · 2024-01-29 13:31:45

74

Views

Want a quick clarification and a small concrete example of the compatibility property of group action

Published on 29 Jan 2024 - 13:31

score 187 · Answer 5 · 2024-01-31 08:27:27

187

Views

For a transitive and faithful group action the stabilizers are not normal

Published on 31 Jan 2024 - 8:27

score 52 · Answer 6 · 2026-03-26 16:06:15

52

Views

Relation between $(A/I)^G$ and $A/I^G$ for a group action $G\curvearrowright A$

Published on 26 Mar 2026 - 16:06

score 153 · Answer 7 · 2024-02-05 04:21:28

153

Views

Let $G$ be a group, assume $[G:Z(G)]=n$ is finite. Let $A \subseteq G$ be any subset. Prove that the number of conjugates of $A$ is at most $n.$

Published on 05 Feb 2024 - 4:21

score 47 · Answer 8 · 2024-02-05 13:18:08

47

Views

Elements that are related under an automorphism have the same number of fixpoints in group action

Published on 05 Feb 2024 - 13:18

score 143 · Answer 9 · 2026-03-29 11:43:02

143

Views

Does there exist $g\in Aut(G)$, but $g^2\neq e$?

Published on 29 Mar 2026 - 11:43

score 40 · Answer 10 · 2026-03-30 03:17:40

40

Views

On the projective Hilbert space

Published on 30 Mar 2026 - 3:17

score 79 · Answer 11 · 2026-03-25 19:01:33

79

Views

A real-world example for a centralizer property

Published on 25 Mar 2026 - 19:01

score 83 · Answer 12 · 2026-03-29 06:02:24

83

Views

A maximal invariant generates the invariant $\sigma$-algebra

Published on 29 Mar 2026 - 6:02

score 118 · Answer 13 · 2026-03-30 17:09:59

118

Views

If $G$ is abelian and $\varphi:G\to H$ is a non-trivial homomorphism, then does $H$ have to be Abelian?

Published on 30 Mar 2026 - 17:09

score 84 · Answer 14 · 2026-03-25 17:45:11

84

Views

Necklace with 4p beads (Burnside's lemma)

Published on 25 Mar 2026 - 17:45

score 86 · Answer 15 · 2026-03-31 22:51:05

86

Views

The "action" of outer automorphisms of $S_6$ on subsets of $S_6$

Published on 31 Mar 2026 - 22:51

List Question

Invertible matrices acting on set of subspaces of the same dimension

What does it mean Modulo the action of $\mathbb{C}^*$ in this statement?

Group action candidate on a set and necessity of the inverse permutation

Want a quick clarification and a small concrete example of the compatibility property of group action

For a transitive and faithful group action the stabilizers are not normal

Relation between $(A/I)^G$ and $A/I^G$ for a group action $G\curvearrowright A$

Let $G$ be a group, assume $[G:Z(G)]=n$ is finite. Let $A \subseteq G$ be any subset. Prove that the number of conjugates of $A$ is at most $n.$

Elements that are related under an automorphism have the same number of fixpoints in group action

Does there exist $g\in Aut(G)$, but $g^2\neq e$?

On the projective Hilbert space

A real-world example for a centralizer property

A maximal invariant generates the invariant $\sigma$-algebra

If $G$ is abelian and $\varphi:G\to H$ is a non-trivial homomorphism, then does $H$ have to be Abelian?

Necklace with 4p beads (Burnside's lemma)

The "action" of outer automorphisms of $S_6$ on subsets of $S_6$

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