List questions from permutation-cycles

Published on 08 Sep 2022 - 23:35

448

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Doubly transitive action and orbits in $X\times X$

Published on 13 Sep 2022 - 4:00

148

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Let $\tau = (1 2)(3 4 5)$. Does there exist an $n$-cycle $σ$ (where $n \ge 5$) such that $\tau=\sigma^k$ for some $k \in \mathbb{Z}$?

Published on 14 Sep 2022 - 19:04

25

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all permutations of order 3

Published on 19 Sep 2022 - 12:19

210

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About a $4$ dimensional representation of $S_4$

Published on 24 Sep 2022 - 16:51

48

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Can the identity permutation be expressed as a product of disjoint transpositions?

Published on 11 Oct 2022 - 4:10

145

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Every Automorphism of a Tree Fixes an Edge or a Vertex Algebraic Proof

Published on 11 Oct 2022 - 17:19

39

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What is the disjoint cycle decomposition of (2,3,7)(3,7,10)?

Published on 12 Oct 2022 - 4:52

48

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Disjoint Product of one 1-cycle, two 2-cycles, and one 3-cycle?

Published on 13 Oct 2022 - 16:31

47

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On what topologies do homeomorphisms with cyclic elements, cycle all elements?

Published on 14 Oct 2022 - 14:53

325

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What is the fractal dimension of the image given by a combinatorial sequence about permutation cycles?

Published on 27 Mar 2026 - 2:02

65

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A question regarding permutations in terms of transpositions.

Published on 17 Oct 2022 - 16:00

58

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Point stabilizer subgroups of permutation groups of order $p^aq^b$?

Published on 23 Feb 2026 - 10:03

378

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Consider a reflection as an element of the permutation group of the vertices of a regular (2n + 1)-gon. Is the permutation even or odd?

Published on 22 Oct 2022 - 1:48

28

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How to find permutations with maximum cycle

Published on 22 Oct 2022 - 21:31

List Question

When do these polynomials majorize the others

Doubly transitive action and orbits in $X\times X$

Let $\tau = (1 2)(3 4 5)$. Does there exist an $n$-cycle $σ$ (where $n \ge 5$) such that $\tau=\sigma^k$ for some $k \in \mathbb{Z}$?

all permutations of order 3

About a $4$ dimensional representation of $S_4$

Can the identity permutation be expressed as a product of disjoint transpositions?

Every Automorphism of a Tree Fixes an Edge or a Vertex Algebraic Proof

What is the disjoint cycle decomposition of (2,3,7)(3,7,10)?

Disjoint Product of one 1-cycle, two 2-cycles, and one 3-cycle?

On what topologies do homeomorphisms with cyclic elements, cycle all elements?

What is the fractal dimension of the image given by a combinatorial sequence about permutation cycles?

A question regarding permutations in terms of transpositions.

Point stabilizer subgroups of permutation groups of order $p^aq^b$?

Consider a reflection as an element of the permutation group of the vertices of a regular (2n + 1)-gon. Is the permutation even or odd?

How to find permutations with maximum cycle

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