List questions from symmetric-groups

Published on 26 Mar 2026 - 2:53

438

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Which subfields of the Galois group of $x^4+8x^2+8x+4$ are Galois and find the splitting field polynomial

Published on 01 May 2019 - 2:08

38

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List all the possible sizes of N. Which of these answers divides 60?

Published on 02 May 2019 - 2:27

74

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For what $n$ is $A_n$ a marginal subgroup of $S_n$?

Published on 23 Feb 2026 - 4:01

55

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Mapping from $G$ to $S_X$

Published on 09 May 2019 - 17:45

129

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Center and derived of the subgroup generated by $\langle(1,2,3),(1,2,4),(5,6)\rangle$ in $S_6$

Published on 09 May 2019 - 22:31

112

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$X$ set, $Y \subset X$. Is there any relation between the groups $\operatorname{Sym}(X)$ and $\operatorname{Sym}(Y)$?

Published on 13 May 2019 - 7:56

1k

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Write down the elements of the cyclic subgroups in S8 generated by α and by α^-1 respectively.

Published on 13 May 2019 - 16:26

387

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eigenvalues of a direct sum of matrices

Published on 25 Mar 2026 - 16:01

27

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Confusing the order of two product of permutations

Published on 25 Mar 2026 - 14:07

272

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the order of a product two elements in symmetric group.

Published on 25 Mar 2026 - 14:06

41

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Case $Sym^n(K^m)\cong K^6$ for $(m,n)$

Published on 25 Mar 2026 - 11:11

99

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Finding a set on which a group acts on

Published on 19 May 2019 - 19:54

49

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Embedding of $G$ naturally in symmetric group and its normalizer

Published on 20 May 2019 - 15:19

1.1k

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Prove that $H=\{i,(12),(34),(12)(34)\}$ forms a non-cyclic subgroup of $S_4$.

Published on 25 May 2019 - 10:50

List Question

Generalized Frobenius Formula

Which subfields of the Galois group of $x^4+8x^2+8x+4$ are Galois and find the splitting field polynomial

List all the possible sizes of N. Which of these answers divides 60?

For what $n$ is $A_n$ a marginal subgroup of $S_n$?

Mapping from $G$ to $S_X$

Center and derived of the subgroup generated by $\langle(1,2,3),(1,2,4),(5,6)\rangle$ in $S_6$

$X$ set, $Y \subset X$. Is there any relation between the groups $\operatorname{Sym}(X)$ and $\operatorname{Sym}(Y)$?

Write down the elements of the cyclic subgroups in S8 generated by α and by α^-1 respectively.

eigenvalues of a direct sum of matrices

Confusing the order of two product of permutations

the order of a product two elements in symmetric group.

Case $Sym^n(K^m)\cong K^6$ for $(m,n)$

Finding a set on which a group acts on

Embedding of $G$ naturally in symmetric group and its normalizer

Prove that $H=\{i,(12),(34),(12)(34)\}$ forms a non-cyclic subgroup of $S_4$.

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