Question

Given groups $H, K$ and $\cdot : H × K \to K$ a group action, is $a \cdot b × a \cdot c = a \cdot (b × c)$?

score 53 · Answer 1 · 2018-06-27 23:44:15

53

Views

Given groups $H, K$ and $\cdot : H × K \to K$ a group action, is $a \cdot b × a \cdot c = a \cdot (b × c)$?

Published on 27 Jun 2018 - 23:44

score 221 · Answer 2 · 2026-03-25 04:43:02

221

Views

Let$G$ be a group of order $12$ with $4$ Sylow $3$-subgroups, affording permutation representation $\phi : G \to S_4$. Prove that $ker \phi = 1$.

Published on 25 Mar 2026 - 4:43

score 201 · Answer 3 · 2018-07-02 23:29:33

201

Views

Lie group actions

Published on 02 Jul 2018 - 23:29

score 74 · Answer 4 · 2026-03-25 02:59:07

74

Views

Burnside groups : a few questions

Published on 25 Mar 2026 - 2:59

score 2k · Answer 5 · 2018-07-05 06:37:57

2k

Views

Kernel of group action on set of cosets by left side multiplication

Published on 05 Jul 2018 - 6:37

score 198 · Answer 6 · 2018-07-06 04:38:00

198

Views

How to think of these different $K$-points of a scheme and Galois action

Published on 06 Jul 2018 - 4:38

score 189 · Answer 7 · 2018-07-06 15:49:47

189

Views

free $G$-action on a topological space

Published on 06 Jul 2018 - 15:49

score 140 · Answer 8 · 2026-03-25 05:09:42

140

Views

Determining the isomorphism classes of these symmetry groups (exterior algebra)

Published on 25 Mar 2026 - 5:09

score 267 · Answer 9 · 2026-03-25 05:07:38

267

Views

Classifying the orbits of the natural $\text{GL}(V)$-action on the exterior power $\bigwedge^k V$

Published on 25 Mar 2026 - 5:07

score 116 · Answer 10 · 2018-07-10 07:52:44

116

Views

The dual Lie algebra in the context of Hamiltonian action

Published on 10 Jul 2018 - 7:52

score 734 · Answer 11 · 2018-07-12 20:54:24

734

Views

Stabilizer and Set of Fixed Points for a Given Action

Published on 12 Jul 2018 - 20:54

score 55 · Answer 12 · 2018-07-14 18:41:49

55

Views

Minimality of group action on compact topological space implies that finite orbit of any non-empty open set covers the space

Published on 14 Jul 2018 - 18:41

score 443 · Answer 13 · 2026-03-23 10:04:12

443

Views

Mapping Class Group acts properly discontinuous; Alexander method

Published on 23 Mar 2026 - 10:04

score 33 · Answer 14 · 2026-03-25 08:05:59

33

Views

Local compactness and actions

Published on 25 Mar 2026 - 8:05

score 178 · Answer 15 · 2026-03-24 22:08:12

178

Views

Computing orbits of a $S_5$ group action

Published on 24 Mar 2026 - 22:08

List Question

Given groups $H, K$ and $\cdot : H × K \to K$ a group action, is $a \cdot b × a \cdot c = a \cdot (b × c)$?

Let$G$ be a group of order $12$ with $4$ Sylow $3$-subgroups, affording permutation representation $\phi : G \to S_4$. Prove that $ker \phi = 1$.

Lie group actions

Burnside groups : a few questions

Kernel of group action on set of cosets by left side multiplication

How to think of these different $K$-points of a scheme and Galois action

free $G$-action on a topological space

Determining the isomorphism classes of these symmetry groups (exterior algebra)

Classifying the orbits of the natural $\text{GL}(V)$-action on the exterior power $\bigwedge^k V$

The dual Lie algebra in the context of Hamiltonian action

Stabilizer and Set of Fixed Points for a Given Action

Minimality of group action on compact topological space implies that finite orbit of any non-empty open set covers the space

Mapping Class Group acts properly discontinuous; Alexander method

Local compactness and actions

Computing orbits of a $S_5$ group action

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