Question

Why if $H_5$ acts on $H_{17}$ by conjugation, this means that $5$ should divide $16$?

score 71 · Answer 1 · 2026-04-02 04:40:03

71

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Why if $H_5$ acts on $H_{17}$ by conjugation, this means that $5$ should divide $16$?

Published on 02 Apr 2026 - 4:40

score 112 · Answer 2 · 2022-09-16 05:10:26

112

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$G = HN$ a group, $N$ normal and $N \cap H =1$. If the conjugacy of $H$ on $N$ has a orbit with all of the non trivial elements: $|N|$ is a prime

Published on 16 Sep 2022 - 5:10

score 147 · Answer 3 · 2026-04-09 16:18:44

147

Views

Showing $gG_ag^{-1}=G_{ga}$

Published on 09 Apr 2026 - 16:18

score 210 · Answer 4 · 2026-04-09 16:18:46

210

Views

Questioning the relationship between the orbit-stabilizer theorem and Lagrange's theorem

Published on 09 Apr 2026 - 16:18

score 83 · Answer 5 · 2022-09-23 11:23:18

83

Views

$(2,p)$ generation of alternating group $A_p$

Published on 23 Sep 2022 - 11:23

score 163 · Answer 6 · 2022-09-24 05:05:31

163

Views

Example of a group action of group $D_6$ on set $A = \{1,2,3\}$

Published on 24 Sep 2022 - 5:05

score 410 · Answer 7 · 2026-03-28 16:25:52

410

Views

Let $G$ be a $p$-group and let $H$ be a proper subgroup of $G$. Show that $H$ is a proper subgroup of $N_G(H)$

Published on 28 Mar 2026 - 16:25

score 103 · Answer 8 · 2022-09-27 03:18:53

103

Views

A group $G$ acting faithfully and transitively on a set $S$ will satisfy $|Ha|=|Hb|$

Published on 27 Sep 2022 - 3:18

score 249 · Answer 9 · 2022-09-28 02:50:42

249

Views

Isomorphic Stabilizers and Orbits

Published on 28 Sep 2022 - 2:50

score 111 · Answer 10 · 2026-03-22 01:32:36

111

Views

Doubt in a paper involving factor graphs

Published on 22 Mar 2026 - 1:32

score 43 · Answer 11 · 2026-03-28 03:27:50

43

Views

The number of $C^0$ conjugacy classes of a $C^1$ flow in $\mathbb R$

Published on 28 Mar 2026 - 3:27

score 63 · Answer 12 · 2026-03-25 22:05:27

63

Views

Poisson manifolds that do not come from quotient of symplectic manifold by Lie groups?

Published on 25 Mar 2026 - 22:05

score 180 · Answer 13 · 2026-04-10 16:39:49

180

Views

The Limit Set of a Cyclic Group Generated by an Irrational Rotation and Acting on the Complex Projective Line

Published on 10 Apr 2026 - 16:39

score 43 · Answer 14 · 2022-10-06 14:36:50

43

Views

Terminology for an extreme type of group action

Published on 06 Oct 2022 - 14:36

score 103 · Answer 15 · 2026-04-11 11:14:56

103

Views

Show that exists one $G$-isomorphism between $X$ and $G/Stab_G(X)$

Published on 11 Apr 2026 - 11:14

List Question

Why if $H_5$ acts on $H_{17}$ by conjugation, this means that $5$ should divide $16$?

$G = HN$ a group, $N$ normal and $N \cap H =1$. If the conjugacy of $H$ on $N$ has a orbit with all of the non trivial elements: $|N|$ is a prime

Showing $gG_ag^{-1}=G_{ga}$

Questioning the relationship between the orbit-stabilizer theorem and Lagrange's theorem

$(2,p)$ generation of alternating group $A_p$

Example of a group action of group $D_6$ on set $A = \{1,2,3\}$

Let $G$ be a $p$-group and let $H$ be a proper subgroup of $G$. Show that $H$ is a proper subgroup of $N_G(H)$

A group $G$ acting faithfully and transitively on a set $S$ will satisfy $|Ha|=|Hb|$

Isomorphic Stabilizers and Orbits

Doubt in a paper involving factor graphs

The number of $C^0$ conjugacy classes of a $C^1$ flow in $\mathbb R$

Poisson manifolds that do not come from quotient of symplectic manifold by Lie groups?

The Limit Set of a Cyclic Group Generated by an Irrational Rotation and Acting on the Complex Projective Line

Terminology for an extreme type of group action

Show that exists one $G$-isomorphism between $X$ and $G/Stab_G(X)$

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