List questions from group-actions

Published on 27 Mar 2026 - 23:22

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Using Burnside's lemma on the cube.

Published on 19 Mar 2013 - 4:32

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burnside lemma cube

Published on 19 Mar 2013 - 8:54

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Group action and Radon measure

Published on 19 Mar 2013 - 20:38

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at least one element fixed by all the group

Published on 27 Mar 2026 - 23:23

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Prove: Let $Gal(f)$ acts transitively on $Z(f)$ if and only if $f$ is irreducible in $F[x]$

Published on 20 Mar 2013 - 17:43

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right group action

Published on 23 Mar 2013 - 15:58

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How to show the orbit space $\mathbb S^n/\mathbb Z_2$ is $\mathbb RP^n$?

Published on 25 Mar 2013 - 11:11

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How to show $\mathbb R^n/\mathbb Z^n$ is diffeomorphic to torus $\mathbb T^n$?

Published on 25 Mar 2013 - 11:18

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Is the Structure Group of a Fibre Bundle Well-Defined?

Published on 30 Mar 2026 - 10:16

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Prove this action is properly discontinuous..

Published on 26 Mar 2013 - 0:24

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If $|G|=120$ and $|H|=24$ and $H$ has at least two Sylow $2$-subgroups, then does $G$ acts faithfully on $G/H$?

Published on 01 Aug 2020 - 16:38

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Transitive actions and equivalence relations (Berkeley Problems in Mathematics)

Published on 03 Aug 2020 - 13:28

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If $P$ is a $p$-Sylow subgroup of $G$ and $N_G(P)\leq U\leq G$, then $|G:U|\equiv 1$ mod $p$.

Published on 03 Aug 2020 - 15:08

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Understanding the definition of a $G$-module

Published on 02 Apr 2026 - 20:52

List Question

p-group and group actions

Using Burnside's lemma on the cube.

burnside lemma cube

Group action and Radon measure

at least one element fixed by all the group

Prove: Let $Gal(f)$ acts transitively on $Z(f)$ if and only if $f$ is irreducible in $F[x]$

right group action

How to show the orbit space $\mathbb S^n/\mathbb Z_2$ is $\mathbb RP^n$?

How to show $\mathbb R^n/\mathbb Z^n$ is diffeomorphic to torus $\mathbb T^n$?

Is the Structure Group of a Fibre Bundle Well-Defined?

Prove this action is properly discontinuous..

If $|G|=120$ and $|H|=24$ and $H$ has at least two Sylow $2$-subgroups, then does $G$ acts faithfully on $G/H$?

Transitive actions and equivalence relations (Berkeley Problems in Mathematics)

If $P$ is a $p$-Sylow subgroup of $G$ and $N_G(P)\leq U\leq G$, then $|G:U|\equiv 1$ mod $p$.

Understanding the definition of a $G$-module

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