List questions from symmetric-groups

Published on 06 Apr 2026 - 19:32

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Is it necessary to determine a definite homomorphism here?

Published on 04 Apr 2026 - 14:49

184

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What does Heron's formula naturally deform?

Published on 27 Mar 2026 - 2:06

317

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Finding a subgroup of $S_8$ isomorphic to $\mathbb{Z}_4 \times \mathbb{Z}_4$

Published on 14 Dec 2021 - 18:11

86

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Permutation group sending even to even and odd to odd

Published on 27 Mar 2026 - 0:02

196

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Are symmetries necessary in group action?

Published on 16 Dec 2021 - 11:49

67

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Proving a function is in the symmetric group

Published on 16 Dec 2021 - 14:26

50

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Show the centralisers $C_{S_6}(s)$ and $C_{S_6}(t)$ are isomorphic to $S_{3} \times C_{3}$

Published on 19 Dec 2021 - 10:42

157

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Assume $H\le S_n$ contains an element of order $n$ and a transposition. Given that $n$ is prime, does $H=S_n$?

Published on 24 Dec 2021 - 9:19

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Why does the GroupNames.org table of transitive groups omit $S_6$ and $S_7$?

Published on 27 Dec 2021 - 22:04

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Can a figure be divided into 2 and 3 but not 6 equal parts?

Published on 23 Feb 2026 - 6:24

131

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Sylow structure of $A_6$

Published on 30 Dec 2021 - 22:00

245

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Is there an injective homomorphism between $\mathbb{Z_4} \times \mathbb{Z_4}$ and $S_7$?

Published on 04 Apr 2026 - 14:49

78

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Is there a good overview of conjugacy classes?

Published on 08 Apr 2026 - 1:58

41

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How do I compute the conjugacy classes of S_4 with their cardinality?

Published on 06 Jan 2022 - 11:01

List Question

How to show that the group $S_3 \times C_2$ contains three element of order 3?

Is it necessary to determine a definite homomorphism here?

What does Heron's formula naturally deform?

Finding a subgroup of $S_8$ isomorphic to $\mathbb{Z}_4 \times \mathbb{Z}_4$

Permutation group sending even to even and odd to odd

Are symmetries necessary in group action?

Proving a function is in the symmetric group

Show the centralisers $C_{S_6}(s)$ and $C_{S_6}(t)$ are isomorphic to $S_{3} \times C_{3}$

Assume $H\le S_n$ contains an element of order $n$ and a transposition. Given that $n$ is prime, does $H=S_n$?

Why does the GroupNames.org table of transitive groups omit $S_6$ and $S_7$?

Can a figure be divided into 2 and 3 but not 6 equal parts?

Sylow structure of $A_6$

Is there an injective homomorphism between $\mathbb{Z_4} \times \mathbb{Z_4}$ and $S_7$?

Is there a good overview of conjugacy classes?

How do I compute the conjugacy classes of S_4 with their cardinality?

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