List questions from group-actions

Published on 22 Dec 2018 - 15:27

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When group action on cartesian product is transitive?

Published on 25 Mar 2026 - 6:08

189

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Homology of subset of orbit space

Published on 22 Dec 2018 - 18:45

75

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How can I prove that a group acts on these sets:

Published on 22 Dec 2018 - 22:22

50

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Involution action on $H^1(S^1\times S^2)$

Published on 23 Feb 2026 - 1:25

287

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Representatives for all conjugacy classes of elements of order 15 in A11

Published on 24 Dec 2018 - 5:48

75

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Involution action on $H^3(S^1\times S^2)$

Published on 25 Mar 2026 - 6:11

841

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Find a set of representatives of cosets in $S_4$

Published on 26 Dec 2018 - 16:18

806

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Galois Action on Scheme

Published on 27 Dec 2018 - 1:17

867

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Group Action on a Scheme

Published on 25 Mar 2026 - 7:47

317

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A question about "$\times$" notation with group actions

Published on 28 Dec 2018 - 4:28

1.3k

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Let $G$ be transitive on $S$. Show that the action is primitive if and only if every $\operatorname{Stab}_G(a), a\in S$, is a maximal subgroup of $G$.

Published on 23 Mar 2026 - 1:33

2.2k

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What is the relationship between the orbit-stabilizer theorem and Lagrange's theorem?

Published on 30 Dec 2018 - 15:16

77

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How to prove $\text{Sh}_G(X)\simeq \text{Sh}(G\backslash X)$ when $X$ is a free $G$-space?

Published on 01 Jan 2019 - 19:50

1.4k

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Centralizer and Normalizer as Group Action

Published on 03 Jan 2019 - 18:22

List Question

Help me understand how action is applied on the example given:

When group action on cartesian product is transitive?

Homology of subset of orbit space

How can I prove that a group acts on these sets:

Involution action on $H^1(S^1\times S^2)$

Representatives for all conjugacy classes of elements of order 15 in A11

Involution action on $H^3(S^1\times S^2)$

Find a set of representatives of cosets in $S_4$

Galois Action on Scheme

Group Action on a Scheme

A question about "$\times$" notation with group actions

Let $G$ be transitive on $S$. Show that the action is primitive if and only if every $\operatorname{Stab}_G(a), a\in S$, is a maximal subgroup of $G$.

What is the relationship between the orbit-stabilizer theorem and Lagrange's theorem?

How to prove $\text{Sh}_G(X)\simeq \text{Sh}(G\backslash X)$ when $X$ is a free $G$-space?

Centralizer and Normalizer as Group Action

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