List questions from permutation-cycles

Published on 18 Nov 2019 - 5:56

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Find a simple formula for f(n)

Published on 18 Nov 2019 - 7:15

270

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Proof - Inverse Permutation

Published on 21 Nov 2019 - 14:50

99

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Convoluted permutation conjugate proof but is it sound?

Published on 21 Nov 2019 - 15:55

616

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Average maximum length of a cycle in a permutation

Published on 25 Nov 2019 - 17:09

95

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Clarifying a definition of cycles

Published on 27 Nov 2019 - 18:27

39

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Product of disjoint cycles agrees with each factor on its support

Published on 27 Nov 2019 - 21:21

41

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Does there exist any $x\in S_{10}$ such that $x(1\ \ 2\ \ 3)x=(9\ \ 10)$?

Published on 28 Nov 2019 - 18:42

653

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Finding the order of the product of disjoint cycles in $S_n$.

Published on 02 Dec 2019 - 15:47

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How to solve cycle equations in Group Theory? Is my approach correct?

Published on 02 Dec 2019 - 16:10

403

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How many distinct ways are there to color the 12 edges of a cube?

Published on 06 Dec 2019 - 0:17

189

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Integer partitions and permutations

Published on 06 Dec 2019 - 1:12

38

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$G = S_7$, $a=(2,5,7)$, $b=(5,7)(4,3,1,6)$, $H = \langle a, b \rangle$, and let $K=\langle b \rangle$. Is K normal in H?

Published on 10 Dec 2019 - 18:25

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$G = S_7$, $a=(2,5,7)$, $b=(5,7)(4,3,1,6)$, $H = \langle a, b \rangle$, and let $K=\langle b \rangle$. Find a cyclic subgroup of $H$ of order 3 and 6

Published on 10 Dec 2019 - 19:42

180

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Finding $\sigma^3$ and $\sigma^{-1}$ of non disjoint cycles

Published on 14 Dec 2019 - 20:32

List Question

How many permutations have the property that 1,2,3 appear in the same cycle?

Find a simple formula for f(n)

Proof - Inverse Permutation

Convoluted permutation conjugate proof but is it sound?

Average maximum length of a cycle in a permutation

Clarifying a definition of cycles

Product of disjoint cycles agrees with each factor on its support

Does there exist any $x\in S_{10}$ such that $x(1\ \ 2\ \ 3)x=(9\ \ 10)$?

Finding the order of the product of disjoint cycles in $S_n$.

How to solve cycle equations in Group Theory? Is my approach correct?

How many distinct ways are there to color the 12 edges of a cube?

Integer partitions and permutations

$G = S_7$, $a=(2,5,7)$, $b=(5,7)(4,3,1,6)$, $H = \langle a, b \rangle$, and let $K=\langle b \rangle$. Is K normal in H?

$G = S_7$, $a=(2,5,7)$, $b=(5,7)(4,3,1,6)$, $H = \langle a, b \rangle$, and let $K=\langle b \rangle$. Find a cyclic subgroup of $H$ of order 3 and 6

Finding $\sigma^3$ and $\sigma^{-1}$ of non disjoint cycles

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