List questions from symmetric-groups

Published on 07 Nov 2015 - 1:49

149

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Dimension of representation of symmetric group $\mathcal S_n$

Published on 07 Nov 2015 - 21:17

39

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Conjugation in the symmetric group

Published on 27 Mar 2026 - 3:44

59

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Product of 3 non-disjoint 4-cycles from $S_4$

Published on 10 Nov 2015 - 21:28

211

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when is $\frac{1}{n}\binom{n}{r}$ an integer

Published on 11 Nov 2015 - 11:57

56

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For what integers n is the group S_n generated by an element of order 2 together with an element of order 3?

Published on 11 Nov 2015 - 18:05

322

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How can I compute $\pi ^{20}$, where $\pi$ is a permutation?

Published on 12 Nov 2015 - 14:59

66

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Are the subgroups of $S_n$ symmetric?

Published on 16 Nov 2015 - 6:19

41

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Is this a subgroups of the symmetric group $S_{4}$?

Published on 16 Nov 2015 - 9:22

221

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What properties the permutations $\sigma=(1 2)(3 4 5)$ and $\tau=(1 2 3 4 5 6)$ in $S_6$ satisfies?

Published on 17 Nov 2015 - 13:54

187

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If $|X|=n$ then $S_X \cong S_n$

Published on 17 Nov 2015 - 14:33

281

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Let $p, q, r$ be distinct primes and let $n=p+q+r$. Show that $S_n$ contains a subgroup of order $pqr$.

Published on 20 Nov 2015 - 2:05

14.3k

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Finding the automorphisms of $S_3$ by looking at the orders of the elements

Published on 20 Nov 2015 - 17:32

121

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meaning of permutation raised to a power, another permutation

Published on 21 Nov 2015 - 3:02

120

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Is there a convenient way to show that the symmetric group $S_4$ has a subgroup of order $d$ for each $d|24$?

Published on 21 Nov 2015 - 3:30

List Question

Example of Cycle Notation and Elementary Transpositions.

Dimension of representation of symmetric group $\mathcal S_n$

Conjugation in the symmetric group

Product of 3 non-disjoint 4-cycles from $S_4$

when is $\frac{1}{n}\binom{n}{r}$ an integer

For what integers n is the group S_n generated by an element of order 2 together with an element of order 3?

How can I compute $\pi ^{20}$, where $\pi$ is a permutation?

Are the subgroups of $S_n$ symmetric?

Is this a subgroups of the symmetric group $S_{4}$?

What properties the permutations $\sigma=(1 2)(3 4 5)$ and $\tau=(1 2 3 4 5 6)$ in $S_6$ satisfies?

If $|X|=n$ then $S_X \cong S_n$

Let $p, q, r$ be distinct primes and let $n=p+q+r$. Show that $S_n$ contains a subgroup of order $pqr$.

Finding the automorphisms of $S_3$ by looking at the orders of the elements

meaning of permutation raised to a power, another permutation

Is there a convenient way to show that the symmetric group $S_4$ has a subgroup of order $d$ for each $d|24$?

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