List questions from group-actions

127

Views

Question about a proof of: If $P$ is a finite $p$-group and $\langle 1\rangle\neq N\trianglelefteq P$, then $N\cap Z(P)\neq\langle 1\rangle$.

Published on 28 Mar 2026 - 11:35

58

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A little question about a group action.

Published on 07 Dec 2021 - 12:26

277

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Two dimensional representation of $D_5$

Published on 29 Mar 2026 - 10:07

57

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On ${\Bbb Z}/p{\Bbb Z}$-torsor.

Published on 26 Mar 2026 - 14:42

74

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Why is the following group action free?

Published on 12 Dec 2021 - 16:05

569

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Why is conjugacy as an equivalence relation special in groups?

Published on 01 Apr 2026 - 15:05

46

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Difference of fixed points by subgroup action

Published on 15 Dec 2021 - 12:17

198

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Are symmetries necessary in group action?

Published on 08 Apr 2026 - 6:54

49

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Does conjugation imply equivariantly conjugation?

Published on 17 Dec 2021 - 5:42

46

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$\mathbb{Z}_pH$-module

Published on 17 Dec 2021 - 18:22

45

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Why is $|H \cdot gP|=1$?

Published on 17 Dec 2021 - 20:09

43

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A question about equivariance to 3D transformations using semi-direct and direct products.

Published on 26 Mar 2026 - 4:30

224

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Let $G$ be a group and $A$ be a normal abelian subgroup, where $\overline{G}=G/A$. Show that $\overline{g}a = gag^{-1}$ is a left action.

Published on 19 Dec 2021 - 13:44

175

Views

Problems on group action.

Published on 07 Apr 2026 - 23:28

85

Views

What is the definition of the vector field which is generated by rotations of the circle

Published on 20 Dec 2021 - 16:41

List Question

Question about a proof of: If $P$ is a finite $p$-group and $\langle 1\rangle\neq N\trianglelefteq P$, then $N\cap Z(P)\neq\langle 1\rangle$.

A little question about a group action.

Two dimensional representation of $D_5$

On ${\Bbb Z}/p{\Bbb Z}$-torsor.

Why is the following group action free?

Why is conjugacy as an equivalence relation special in groups?

Difference of fixed points by subgroup action

Are symmetries necessary in group action?

Does conjugation imply equivariantly conjugation?

$\mathbb{Z}_pH$-module

Why is $|H \cdot gP|=1$?

A question about equivariance to 3D transformations using semi-direct and direct products.

Let $G$ be a group and $A$ be a normal abelian subgroup, where $\overline{G}=G/A$. Show that $\overline{g}a = gag^{-1}$ is a left action.

Problems on group action.

What is the definition of the vector field which is generated by rotations of the circle

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