List questions from permutation-cycles

Published on 06 Jun 2019 - 13:38

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The number of five digit natural numbers which contains exactly two distinct digits?

Published on 11 Jun 2019 - 6:48

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How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

Published on 25 Mar 2026 - 8:01

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If a polynomial has a real and a complex roots, its Galois group is non-abelian.

Published on 18 Jun 2019 - 13:34

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Decomposing a symmetric function into elementary symmetric polynomials.

Published on 25 Mar 2026 - 6:09

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Do permutations and their inverses always have the same cycle type?

Published on 26 Jun 2019 - 15:35

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Multiply a permutation of cycles by a transposition

Published on 28 Jun 2019 - 12:24

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Conjugation by a transposition for permutations

Published on 28 Jun 2019 - 13:43

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Number of $(n-1)-$cycles in $S_n$

Published on 04 Jul 2019 - 17:40

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Can I get disjoint cycles decomposition of $\sigma \in S_n$ from the partition of $I_n$ into orbits under the action of $\langle \sigma \rangle$?

Published on 18 Jul 2019 - 11:53

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>Let $ \sigma_{2} = (4215)(3426)(5617)$. Show that permutation as products of, in pair, disjoint cycles and as product of transpositions.

Published on 02 Aug 2019 - 10:17

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Find the centralizer of $(123)$ in $S_6$.

Published on 03 Aug 2019 - 9:07

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Find a group that contains elements $a$ and $b$ such that $|a|=2, |b|=11$ and $|ab|=2.$

Published on 05 Aug 2019 - 4:32

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Sign of a Particular Permutation

Published on 14 Aug 2019 - 21:18

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Subgroup generated by two cycles in $S_5$.

Published on 17 Aug 2019 - 20:17

List Question

parities of power permutations in finite fields

The number of five digit natural numbers which contains exactly two distinct digits?

How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

If a polynomial has a real and a complex roots, its Galois group is non-abelian.

Decomposing a symmetric function into elementary symmetric polynomials.

Do permutations and their inverses always have the same cycle type?

Multiply a permutation of cycles by a transposition

Conjugation by a transposition for permutations

Number of $(n-1)-$cycles in $S_n$

Can I get disjoint cycles decomposition of $\sigma \in S_n$ from the partition of $I_n$ into orbits under the action of $\langle \sigma \rangle$?

>Let $ \sigma_{2} = (4215)(3426)(5617)$. Show that permutation as products of, in pair, disjoint cycles and as product of transpositions.

Find the centralizer of $(123)$ in $S_6$.

Find a group that contains elements $a$ and $b$ such that $|a|=2, |b|=11$ and $|ab|=2.$

Sign of a Particular Permutation

Subgroup generated by two cycles in $S_5$.

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