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 22 · Answer 1 · 2018-04-05 00:46:55

22

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 05 Apr 2018 - 0:46

score 67 · Answer 2 · 2018-04-08 18:32:11

67

Views

Orbit/stabiliser of an action

Published on 08 Apr 2018 - 18:32

score 67 · Answer 3 · 2026-03-25 00:06:36

67

Views

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

Published on 25 Mar 2026 - 0:06

score 26 · Answer 4 · 2018-04-12 15:49:00

26

Views

terminology of group action question.

Published on 12 Apr 2018 - 15:49

score 109 · Answer 5 · 2018-04-14 11:35:41

109

Views

Finite quotient of a manifold

Published on 14 Apr 2018 - 11:35

score 123 · Answer 6 · 2018-04-16 16:15:50

123

Views

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

Published on 16 Apr 2018 - 16:15

score 27 · Answer 7 · 2018-04-16 19:12:40

27

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 16 Apr 2018 - 19:12

score 1.6k · Answer 8 · 2018-04-18 12:30:28

1.6k

Views

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

Published on 18 Apr 2018 - 12:30

score 441 · Answer 9 · 2026-03-20 05:43:05

441

Views

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

Published on 20 Mar 2026 - 5:43

score 36 · Answer 10 · 2026-03-25 01:28:50

36

Views

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

Published on 25 Mar 2026 - 1:28

score 472 · Answer 11 · 2018-04-20 16:20:17

472

Views

Bundle given by group action

Published on 20 Apr 2018 - 16:20

score 162 · Answer 12 · 2018-04-21 00:02:23

162

Views

Understanding Advanced Permutation Group by Example

Published on 21 Apr 2018 - 0:02

score 525 · Answer 13 · 2026-03-23 02:41:36

525

Views

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

Published on 23 Mar 2026 - 2:41

score 38 · Answer 14 · 2018-04-22 11:32:34

38

Views

Determining the order of a group from the Orbit Stabiliser Theorem

Published on 22 Apr 2018 - 11:32

score 293 · Answer 15 · 2018-04-23 11:18:35

293

Views

Describe a natural group action

Published on 23 Apr 2018 - 11:18

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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