List questions from symmetric-groups

Published on 17 Aug 2016 - 5:20

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Symmetric group $\mathfrak{S}_4$ does not have a normal subgroup of order 2.

Published on 21 Aug 2016 - 22:42

998

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Problem involving conjugacy classes of the alternating group

Published on 22 Aug 2016 - 0:08

498

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Transitive subgroups of $S_n$

Published on 22 Aug 2016 - 0:16

110

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Are Hall subgroups of symmetric groups determined up to isomorphism by their order?

Published on 24 Aug 2016 - 21:04

238

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$H$ is a normal subgroup (containing an element of infinite order) of the permutation group over positive integers , then is $H$ the whole group?

Published on 26 Mar 2026 - 6:31

41

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For $N \unlhd S_4$, $\sigma = (12)$, is $H=N \cup N\sigma$ a subgroup?

Published on 06 Sep 2016 - 12:38

704

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Determine all the generators and subgroups of H = ⟨(123456)⟩ ⊂ S6

Published on 07 Sep 2016 - 2:43

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Group automorphism of $S_4$

Published on 29 Mar 2026 - 20:04

141

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Why $S_4 / V_4 \cong C_6 \Longleftrightarrow A_4 \leq V_4 $?

Published on 09 Sep 2016 - 0:49

158

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Endomorphism monoid $End(B_n)$ is isomorphic to the monoid $S_n^0$

Published on 26 Mar 2026 - 9:42

86

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Special bijections on $n$ elements

Published on 09 Sep 2016 - 17:44

1.9k

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Permutations of Prime Order

Published on 09 Sep 2016 - 23:30

134

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Cellular bases of the symmetric group $KS_n$

Published on 23 Feb 2026 - 4:56

782

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The symmetric group of $\mathbb{Z}$ is isomorphic to which group?

Published on 29 Mar 2026 - 4:10

List Question

Find the subgroup of $S_{12}$ generated by two permutations

Symmetric group $\mathfrak{S}_4$ does not have a normal subgroup of order 2.

Problem involving conjugacy classes of the alternating group

Transitive subgroups of $S_n$

Are Hall subgroups of symmetric groups determined up to isomorphism by their order?

$H$ is a normal subgroup (containing an element of infinite order) of the permutation group over positive integers , then is $H$ the whole group?

For $N \unlhd S_4$, $\sigma = (12)$, is $H=N \cup N\sigma$ a subgroup?

Determine all the generators and subgroups of H = ⟨(123456)⟩ ⊂ S6

Group automorphism of $S_4$

Why $S_4 / V_4 \cong C_6 \Longleftrightarrow A_4 \leq V_4 $?

Endomorphism monoid $End(B_n)$ is isomorphic to the monoid $S_n^0$

Special bijections on $n$ elements

Permutations of Prime Order

Cellular bases of the symmetric group $KS_n$

The symmetric group of $\mathbb{Z}$ is isomorphic to which group?

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