Question

Let $|G|=p^{(k+l)}q$ with $k, l \geq 0$ and $p \nmid q$. Show that G acts on $X:=\{A \subset G : |A| = p^k \}$ by left multiplication?

score 25 · Answer 1 · 2026-04-18 06:48:13

25

Views

Let $|G|=p^{(k+l)}q$ with $k, l \geq 0$ and $p \nmid q$. Show that G acts on $X:=\{A \subset G : |A| = p^k \}$ by left multiplication?

Published on 18 Apr 2026 - 6:48

score 71 · Answer 2 · 2026-04-13 08:53:02

71

Views

Orbit/stabiliser of an action

Published on 13 Apr 2026 - 8:53

score 72 · Answer 3 · 2026-05-10 12:41:33

72

Views

Is $G$ action on a principal bundle a smooth submersion?

Published on 10 May 2026 - 12:41

score 29 · Answer 4 · 2026-04-11 18:35:07

29

Views

terminology of group action question.

Published on 11 Apr 2026 - 18:35

score 113 · Answer 5 · 2026-04-13 15:07:16

113

Views

Finite quotient of a manifold

Published on 13 Apr 2026 - 15:07

score 126 · Answer 6 · 2026-04-16 10:08:37

126

Views

When $T_x: G \longrightarrow \mathrm{orb}(x) $ is injective?

Published on 16 Apr 2026 - 10:08

score 30 · Answer 7 · 2026-04-14 09:18:09

30

Views

If we have the fixed field $K^H$ and we consider the orbit of an element $\beta_1$, is there an associated group action?

Published on 14 Apr 2026 - 9:18

score 1.6k · Answer 8 · 2026-04-11 05:52:34

1.6k

Views

How many ways can you color the edges of a square with 4 colors?

Published on 11 Apr 2026 - 5:52

score 447 · Answer 9 · 2026-04-29 12:18:08

447

Views

Finite measure fundamental domain for a discrete group implies it's a lattice

Published on 29 Apr 2026 - 12:18

score 39 · Answer 10 · 2026-05-10 15:10:28

39

Views

Faithful action on trees ensures that the action is faithfull of plane graphs?

Published on 10 May 2026 - 15:10

score 478 · Answer 11 · 2026-05-10 14:45:33

478

Views

Bundle given by group action

Published on 10 May 2026 - 14:45

score 165 · Answer 12 · 2026-04-11 14:10:28

165

Views

Understanding Advanced Permutation Group by Example

Published on 11 Apr 2026 - 14:10

score 532 · Answer 13 · 2026-05-10 12:36:13

532

Views

How to define an action of $\pi_1(E)$ on $\pi_n(F)$ for a fibration $F\to E\to B$?

Published on 10 May 2026 - 12:36

score 41 · Answer 14 · 2026-04-13 20:38:08

41

Views

Determining the order of a group from the Orbit Stabiliser Theorem

Published on 13 Apr 2026 - 20:38

score 298 · Answer 15 · 2026-05-10 10:57:54

298

Views

Describe a natural group action

Published on 10 May 2026 - 10:57

List Question

Let $|G|=p^{(k+l)}q$ with $k, l \geq 0$ and $p \nmid q$. Show that G acts on $X:=\{A \subset G : |A| = p^k \}$ by left multiplication?

Orbit/stabiliser of an action

Is $G$ action on a principal bundle a smooth submersion?

terminology of group action question.

Finite quotient of a manifold

When $T_x: G \longrightarrow \mathrm{orb}(x) $ is injective?

If we have the fixed field $K^H$ and we consider the orbit of an element $\beta_1$, is there an associated group action?

How many ways can you color the edges of a square with 4 colors?

Finite measure fundamental domain for a discrete group implies it's a lattice

Faithful action on trees ensures that the action is faithfull of plane graphs?

Bundle given by group action

Understanding Advanced Permutation Group by Example

How to define an action of $\pi_1(E)$ on $\pi_n(F)$ for a fibration $F\to E\to B$?

Determining the order of a group from the Orbit Stabiliser Theorem

Describe a natural group action

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