Question

Ergodic action of dense subgroup

score 320 · Answer 1 · 2018-11-27 15:23:25

320

Views

Ergodic action of dense subgroup

Published on 27 Nov 2018 - 15:23

score 163 · Answer 2 · 2018-11-28 09:58:10

163

Views

Equivalence of definitions of ergodic action

Published on 28 Nov 2018 - 9:58

score 134 · Answer 3 · 2026-03-25 14:26:52

134

Views

Permutations on vertices of cubes and hence finding volume enclosed by the vertices

Published on 25 Mar 2026 - 14:26

score 77 · Answer 4 · 2026-03-25 17:37:58

77

Views

$G_{x_1x_2+x_3x_4}\cong D_8$

Published on 25 Mar 2026 - 17:37

score 703 · Answer 5 · 2018-12-03 00:58:13

703

Views

Proving the number of commuting pairs of elements in $G$ equals number of conjugacy classes in $G$ times $|G|$

Published on 03 Dec 2018 - 0:58

score 342 · Answer 6 · 2018-12-04 22:05:33

342

Views

Application of Burnside's lemma to necklaces of three colors

Published on 04 Dec 2018 - 22:05

score 283 · Answer 7 · 2026-03-25 19:05:56

283

Views

Why does the covering transformation group act properly discontinuously on the fiber?

Published on 25 Mar 2026 - 19:05

score 287 · Answer 8 · 2026-03-25 06:06:55

287

Views

Compute all $X_{g}$ and all $G_{x}$ for $X = \left \{1, 2, 3\right \}$, $G = S_{3} = \left \{(1), (12), (13), (23), (123), (132)\right \}$.

Published on 25 Mar 2026 - 6:06

score 69 · Answer 9 · 2026-03-25 06:06:39

69

Views

Find the conjugacy class $O_{(234)}$ if $G=A_{4}$ is acting on itself by conjugation.

Published on 25 Mar 2026 - 6:06

score 1.2k · Answer 10 · 2018-12-05 23:03:19

1.2k

Views

Let $a \in G$. Show that for any $g \in G$, $gC(a)g^{-1} = C(gag^{-1})$.

Published on 05 Dec 2018 - 23:03

score 119 · Answer 11 · 2018-12-06 16:25:24

119

Views

Can I take the vector space generated by {$1 , x, x^2$} over the field $F_3$?

Published on 06 Dec 2018 - 16:25

score 75 · Answer 12 · 2018-12-06 23:33:27

75

Views

Invariance under a normal subgroup

Published on 06 Dec 2018 - 23:33

score 166 · Answer 13 · 2018-12-07 13:51:53

166

Views

Shortest way to find the centralizer and normalizer of $A=\{1,s,r^2,sr^2\}\subseteq D_8$?

Published on 07 Dec 2018 - 13:51

score 45 · Answer 14 · 2018-12-07 14:28:43

45

Views

Let $G=S_n$ and fix $i \in A=\{1,2,\ldots,n\}$ and let $G_{i}=\{\alpha \in G | \alpha(i)= i\}$. Prove $G_{i} \leq G$ and find $|G_i|$

Published on 07 Dec 2018 - 14:28

score 23 · Answer 15 · 2026-03-22 01:38:34

23

Views

Showing that left and right group actions of group $G $ on set $A$ induce the same equivalence relation on A?

Published on 22 Mar 2026 - 1:38

List Question

Ergodic action of dense subgroup

Equivalence of definitions of ergodic action

Permutations on vertices of cubes and hence finding volume enclosed by the vertices

$G_{x_1x_2+x_3x_4}\cong D_8$

Proving the number of commuting pairs of elements in $G$ equals number of conjugacy classes in $G$ times $|G|$

Application of Burnside's lemma to necklaces of three colors

Why does the covering transformation group act properly discontinuously on the fiber?

Compute all $X_{g}$ and all $G_{x}$ for $X = \left \{1, 2, 3\right \}$, $G = S_{3} = \left \{(1), (12), (13), (23), (123), (132)\right \}$.

Find the conjugacy class $O_{(234)}$ if $G=A_{4}$ is acting on itself by conjugation.

Let $a \in G$. Show that for any $g \in G$, $gC(a)g^{-1} = C(gag^{-1})$.

Can I take the vector space generated by {$1 , x, x^2$} over the field $F_3$?

Invariance under a normal subgroup

Shortest way to find the centralizer and normalizer of $A=\{1,s,r^2,sr^2\}\subseteq D_8$?

Let $G=S_n$ and fix $i \in A=\{1,2,\ldots,n\}$ and let $G_{i}=\{\alpha \in G | \alpha(i)= i\}$. Prove $G_{i} \leq G$ and find $|G_i|$

Showing that left and right group actions of group $G $ on set $A$ induce the same equivalence relation on A?

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