List questions from permutation-cycles

Published on 09 Mar 2021 - 20:37

91

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Is my solution of group theory question correct?

Published on 10 Mar 2021 - 10:05

253

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proving how many permutations exist.

Published on 10 Mar 2021 - 22:03

48

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Showing how many permutations exist

Published on 11 Mar 2021 - 16:41

209

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Write permutation as disjoint cycles $(5 1 2)(3 1 2)(4 1 3)$

Published on 11 Mar 2021 - 20:33

273

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Why is $(12345) = (54)(53)(52)(51)$?

Published on 17 Mar 2021 - 0:12

549

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Understanding hint in "$r$-cycle to a power $k$ is also an $r$-cycle iff $\gcd(k,r)=1$"

Published on 29 Mar 2021 - 1:38

226

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Cycle index for $S_2\times S_4$

Published on 01 Apr 2021 - 20:05

250

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Prove that $_n$ is generated by the two permutations (1 2), (1 2 3 ... n)

Published on 05 Apr 2021 - 10:22

104

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Multiplying disjoint cycles

Published on 11 Apr 2021 - 20:36

231

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The order of computing composition of permutation when using cycle notation

Published on 13 Apr 2021 - 7:58

23

Views

Is there a simplified version of this product

Published on 16 Apr 2021 - 17:35

158

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Sign of permutation who discovered that

Published on 26 Mar 2026 - 8:03

141

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Find a subgroup of order $120$ in $S_8$

Published on 22 Apr 2021 - 19:46

72

Views

For what $p$ is there a $d$ where $x^3+d$ is Hamiltonian in ${\mathbb Z}/p$?

Published on 26 Apr 2021 - 13:03

List Question

Show that group $G$ is isomorphic to $Z_3$.

Is my solution of group theory question correct?

proving how many permutations exist.

Showing how many permutations exist

Write permutation as disjoint cycles $(5 1 2)(3 1 2)(4 1 3)$

Why is $(12345) = (54)(53)(52)(51)$?

Understanding hint in "$r$-cycle to a power $k$ is also an $r$-cycle iff $\gcd(k,r)=1$"

Cycle index for $S_2\times S_4$

Prove that $_n$ is generated by the two permutations (1 2), (1 2 3 ... n)

Multiplying disjoint cycles

The order of computing composition of permutation when using cycle notation

Is there a simplified version of this product

Sign of permutation who discovered that

Find a subgroup of order $120$ in $S_8$

For what $p$ is there a $d$ where $x^3+d$ is Hamiltonian in ${\mathbb Z}/p$?

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