List questions from symmetric-groups

Published on 26 Mar 2026 - 1:26

62

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If $\alpha$ and $\beta$ are disjoint, so are $\alpha$ and $\beta^k$?

Published on 07 Mar 2019 - 20:21

76

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What is the span of the symmetric group $S_{5}$?

Published on 25 Mar 2026 - 9:28

1.5k

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Show that S6 has at least 60 subgroups of order 4

Published on 08 Mar 2019 - 3:34

44

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Group of Proper Symmetries of Painted Cube

Published on 10 Mar 2019 - 5:39

103

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How can I show that a representation of $S_n$ is reducible

Published on 11 Mar 2019 - 0:07

86

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Find number of flips of transposition $(i \ j)$.

Published on 11 Mar 2019 - 14:22

94

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Let $H=\{\alpha \in S_7 :\alpha(3)=3\}$ and $K=\{\alpha \in S_7:\alpha(5)=5\}$. Prove that $H\cong K$.

Published on 17 Mar 2019 - 1:37

177

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Complex group algebra of $S_3$ isomorphic to $\mathbb{C}[x]/(p)$?

Published on 19 Mar 2019 - 5:07

27

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constructing new genereating set for $S_n$

Published on 19 Mar 2019 - 7:54

267

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Certain Isomorphic Representations of the dihedral group $D_{3}$

Published on 25 Mar 2026 - 11:06

67

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$G$ non-centerless group. How is $Z(\operatorname{Aut}(G))$ made?

Published on 25 Mar 2026 - 21:49

234

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Prove if the the groups $A_4$ and $S_3 \times \Bbb Z_2$ are or not are isomorphic

Published on 25 Mar 2026 - 21:49

1k

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How many elements of order $4$ in $S_{7}$?

Published on 22 Mar 2019 - 20:07

125

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Eigenspaces of the Cayley Graph Cay$(S_n,T_n)$ on adjacent transpositions

Published on 25 Mar 2026 - 16:03

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Identity from repeated function composition

If $\alpha$ and $\beta$ are disjoint, so are $\alpha$ and $\beta^k$?

What is the span of the symmetric group $S_{5}$?

Show that S6 has at least 60 subgroups of order 4

Group of Proper Symmetries of Painted Cube

How can I show that a representation of $S_n$ is reducible

Find number of flips of transposition $(i \ j)$.

Let $H=\{\alpha \in S_7 :\alpha(3)=3\}$ and $K=\{\alpha \in S_7:\alpha(5)=5\}$. Prove that $H\cong K$.

Complex group algebra of $S_3$ isomorphic to $\mathbb{C}[x]/(p)$?

constructing new genereating set for $S_n$

Certain Isomorphic Representations of the dihedral group $D_{3}$

$G$ non-centerless group. How is $Z(\operatorname{Aut}(G))$ made?

Prove if the the groups $A_4$ and $S_3 \times \Bbb Z_2$ are or not are isomorphic

How many elements of order $4$ in $S_{7}$?

Eigenspaces of the Cayley Graph Cay$(S_n,T_n)$ on adjacent transpositions

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