Question

Let $G=(\Bbb Z/12\Bbb Z)^\times$ and $S=(\Bbb Z/13\Bbb Z)^\times$. Show that $\alpha$ is a group action of $G$ on $S$.

score 65 · Answer 1 · 2020-01-11 13:43:55

65

Views

Let $G=(\Bbb Z/12\Bbb Z)^\times$ and $S=(\Bbb Z/13\Bbb Z)^\times$. Show that $\alpha$ is a group action of $G$ on $S$.

Published on 11 Jan 2020 - 13:43

score 290 · Answer 2 · 2026-03-25 21:47:23

290

Views

Group action by a semi-direct product.

Published on 25 Mar 2026 - 21:47

score 45 · Answer 3 · 2020-01-16 08:20:29

45

Views

Action of a Subgroup of Symmetric Group

Published on 16 Jan 2020 - 8:20

score 71 · Answer 4 · 2020-01-16 22:18:41

71

Views

Representations and Group Actions

Published on 16 Jan 2020 - 22:18

score 1.5k · Answer 5 · 2020-01-17 03:17:30

1.5k

Views

Soft question: Preference between "Isotropy subgroup" and "Stabiliser subgroup"?

Published on 17 Jan 2020 - 3:17

score 91 · Answer 6 · 2026-03-26 04:33:59

91

Views

What is $\sigma(\zeta)=\zeta^{\chi_l(\sigma)}$?

Published on 26 Mar 2026 - 4:33

score 99 · Answer 7 · 2026-03-25 01:27:01

99

Views

Symplectic Reduction: Why are $\mathbb{S}^1$ Orbits Tangent to $\omega$-Null Directions?

Published on 25 Mar 2026 - 1:27

score 770 · Answer 8 · 2020-01-21 13:55:33

770

Views

When is Quotient topology by Group action Hausdorff?

Published on 21 Jan 2020 - 13:55

score 38 · Answer 9 · 2020-01-23 22:17:05

38

Views

Existence of action that makes a function equivariant

Published on 23 Jan 2020 - 22:17

score 194 · Answer 10 · 2026-03-25 09:40:02

194

Views

Why are lines in $\mathbb{R}^3$ all congruent to one another, but circles in $\mathbb{R}^3$ are not?

Published on 25 Mar 2026 - 9:40

score 100 · Answer 11 · 2020-01-28 14:19:55

100

Views

Intepretation of the fact that $\operatorname{stab}_G(g \cdot x) = g\operatorname{stab}_G(x)g^{-1}$

Published on 28 Jan 2020 - 14:19

score 44 · Answer 12 · 2020-01-28 21:54:32

44

Views

On transitivity of a product of groups

Published on 28 Jan 2020 - 21:54

score 46 · Answer 13 · 2020-01-30 16:41:46

46

Views

If $G$ acts on $A$ and $A\cong B$, how does $G$ act on $B$?

Published on 30 Jan 2020 - 16:41

score 598 · Answer 14 · 2020-01-30 20:18:19

598

Views

Quotient group, group action and quotient space

Published on 30 Jan 2020 - 20:18

score 414 · Answer 15 · 2020-01-31 06:48:14

414

Views

Quotient group acts on quotient space?

Published on 31 Jan 2020 - 6:48

List Question

Let $G=(\Bbb Z/12\Bbb Z)^\times$ and $S=(\Bbb Z/13\Bbb Z)^\times$. Show that $\alpha$ is a group action of $G$ on $S$.

Group action by a semi-direct product.

Action of a Subgroup of Symmetric Group

Representations and Group Actions

Soft question: Preference between "Isotropy subgroup" and "Stabiliser subgroup"?

What is $\sigma(\zeta)=\zeta^{\chi_l(\sigma)}$?

Symplectic Reduction: Why are $\mathbb{S}^1$ Orbits Tangent to $\omega$-Null Directions?

When is Quotient topology by Group action Hausdorff?

Existence of action that makes a function equivariant

Why are lines in $\mathbb{R}^3$ all congruent to one another, but circles in $\mathbb{R}^3$ are not?

Intepretation of the fact that $\operatorname{stab}_G(g \cdot x) = g\operatorname{stab}_G(x)g^{-1}$

On transitivity of a product of groups

If $G$ acts on $A$ and $A\cong B$, how does $G$ act on $B$?

Quotient group, group action and quotient space

Quotient group acts on quotient space?

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