List questions from symmetric-groups

Published on 25 Mar 2026 - 17:37

48

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Showing $\sum_{i=0}^n c(n,i) = n!$ with cardinality of Symmetric Group

Published on 27 Mar 2026 - 17:04

75

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Set of generators of the alternating group $A_9$ . The group $A_9$ is generated by $(14)(29)(37)(56)$ and $(123)(456)(789)$.

Published on 23 Mar 2026 - 0:35

44

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number of transpositions and the composition

Published on 13 Apr 2023 - 12:51

111

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A problem about transitive subgroups of $S_n$

Published on 17 Apr 2023 - 14:00

127

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Idempotency of the Young symmetrizer

Published on 25 Mar 2026 - 13:59

101

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Subgroups of the alternating groups

Published on 18 Apr 2023 - 16:38

86

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How to find all subnormal subgroups of a group?

Published on 18 Apr 2023 - 21:53

102

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Prove that the image of an element $g \in G$ of order $k$ is a product of $n/k$ disjoint $k$-cycles in $S(G)$.

Published on 26 Mar 2026 - 19:02

100

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How many copies of $D_4$ in $S_5$?

Published on 29 Mar 2026 - 7:36

96

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Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$, special case for $n=4$ and $t=3$

Published on 26 Apr 2023 - 0:43

34

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Number of binary rooted trees with anti-commutative property fixed by $\sigma \in S_n$

Published on 28 Mar 2026 - 4:35

110

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Do normalizers of $p$-subgroups of $S_n$ always grow?

Published on 29 Mar 2026 - 5:50

68

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a doubt on cycle decomposition in Dummit's Abstract Algebra

Published on 03 May 2023 - 13:28

16

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Type $B_n$ conjugacy classes

Published on 10 Mar 2026 - 5:31

List Question

Does a permutation determined by set of Inversions?

Showing $\sum_{i=0}^n c(n,i) = n!$ with cardinality of Symmetric Group

Set of generators of the alternating group $A_9$ . The group $A_9$ is generated by $(14)(29)(37)(56)$ and $(123)(456)(789)$.

number of transpositions and the composition

A problem about transitive subgroups of $S_n$

Idempotency of the Young symmetrizer

Subgroups of the alternating groups

How to find all subnormal subgroups of a group?

Prove that the image of an element $g \in G$ of order $k$ is a product of $n/k$ disjoint $k$-cycles in $S(G)$.

How many copies of $D_4$ in $S_5$?

Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$, special case for $n=4$ and $t=3$

Number of binary rooted trees with anti-commutative property fixed by $\sigma \in S_n$

Do normalizers of $p$-subgroups of $S_n$ always grow?

a doubt on cycle decomposition in Dummit's Abstract Algebra

Type $B_n$ conjugacy classes

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