List questions from group-actions

Published on 25 Mar 2026 - 7:42

322

Views

Does $H\leq G$ imply $[G_x: H_x]\leq [G: H]$?

Published on 08 Jul 2019 - 11:23

146

Views

Small "transitive" subsets of transitive groups

Published on 09 Jul 2019 - 16:21

136

Views

Action on a tree without fundamental domain.

Published on 26 Mar 2026 - 20:38

92

Views

The functors $\mathscr M^{op}\to\mathbf{Set}$ are the right $M$-sets

Published on 25 Mar 2026 - 6:02

961

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Orbit type and conjugacy class

Published on 15 Jul 2019 - 18:45

92

Views

Proper action of $\mathrm{SL}(2,\mathbb{R})$ by isometries on a Hilbert space

Published on 26 Mar 2026 - 3:11

99

Views

What is meant by $\text{coordinatewise complex conjugation}$ in group action?

Published on 18 Jul 2019 - 9:39

80

Views

Is there an action of the abelianization of $SL(2,\mathbb{Z})$ on lattices?

Published on 18 Jul 2019 - 19:05

239

Views

Left and right coset representatives of $\text{SL}_2(\mathbb{Z})$ action

Published on 22 Mar 2026 - 5:53

70

Views

Group action question

Published on 22 Jul 2019 - 19:29

175

Views

Identifying the kernel of induced homorphism with the kernel of group action of G on the left cosets of H

Published on 25 Mar 2026 - 10:59

155

Views

Free group action on a measure space

Published on 26 Mar 2026 - 17:36

356

Views

Example of a continuous affine group action

Published on 22 Mar 2026 - 23:35

409

Views

sufficient conditions for faithful group action with multiple orbits

Published on 26 Jul 2019 - 13:50

List Question

$SU(3)$ acts transitively on $S^5$.

Does $H\leq G$ imply $[G_x: H_x]\leq [G: H]$?

Small "transitive" subsets of transitive groups

Action on a tree without fundamental domain.

The functors $\mathscr M^{op}\to\mathbf{Set}$ are the right $M$-sets

Orbit type and conjugacy class

Proper action of $\mathrm{SL}(2,\mathbb{R})$ by isometries on a Hilbert space

What is meant by $\text{coordinatewise complex conjugation}$ in group action?

Is there an action of the abelianization of $SL(2,\mathbb{Z})$ on lattices?

Left and right coset representatives of $\text{SL}_2(\mathbb{Z})$ action

Group action question

Identifying the kernel of induced homorphism with the kernel of group action of G on the left cosets of H

Free group action on a measure space

Example of a continuous affine group action

sufficient conditions for faithful group action with multiple orbits

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