List questions from symmetric-groups

Published on 13 Aug 2014 - 10:54

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Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.

Published on 14 Aug 2014 - 23:10

833

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One-dimensional representations of S5

Published on 15 Aug 2014 - 6:08

91

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$GL_2(R)$ and $\mathbb{A}_4$

Published on 16 Aug 2014 - 1:42

193

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Explicit formula for invariant inner product of the standard representation of $S_3$

Published on 17 Aug 2014 - 0:12

15.7k

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Generators of the Symmetric group $S_3$

Published on 19 Aug 2014 - 17:27

358

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How does $A_n$ look in Aut$(X)$?

Published on 19 Aug 2014 - 18:04

2k

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Drawing a Truncated Octahedron

Published on 26 Mar 2026 - 22:19

67

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Question about the symmetric group

Published on 25 Aug 2014 - 8:55

69

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Something that is true for every element of $\text{Sym}(\Bbb{N})$

Published on 27 Aug 2014 - 9:09

122

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Alternating group $A_n$ generated by its subgroups $A^{(i)}_{n-1}$

Published on 27 Aug 2014 - 9:59

133

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$G=\{f_n(x):n\in \mathbb{Z}\}$ is cyclic

Published on 29 Aug 2014 - 1:14

14.2k

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Prove that the symmetric group $S_n$, $n \geq 3$, has trivial center.

Published on 29 Aug 2014 - 18:49

155

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Abstract Algebra 1 about permutation

Published on 05 Sep 2014 - 7:43

2k

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Calculating number of elements commmuting with $\sigma\in S_{10}$

Published on 07 Sep 2014 - 6:23

List Question

Equivalent of a sequence in regard to a certain length of a cycle for $\mathfrak{S}_{n}$

Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.

One-dimensional representations of S5

$GL_2(R)$ and $\mathbb{A}_4$

Explicit formula for invariant inner product of the standard representation of $S_3$

Generators of the Symmetric group $S_3$

How does $A_n$ look in Aut$(X)$?

Drawing a Truncated Octahedron

Question about the symmetric group

Something that is true for every element of $\text{Sym}(\Bbb{N})$

Alternating group $A_n$ generated by its subgroups $A^{(i)}_{n-1}$

$G=\{f_n(x):n\in \mathbb{Z}\}$ is cyclic

Prove that the symmetric group $S_n$, $n \geq 3$, has trivial center.

Abstract Algebra 1 about permutation

Calculating number of elements commmuting with $\sigma\in S_{10}$

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