Prove if $\sigma=\sigma_{1}\sigma_{2}\cdots\sigma_{m}$ is product of disjoint cycles, then $\sigma^{lcm(lgth(\sigma _{1})\cdots lgth(\sigma_{m}))}=e$.

score 129 · Answer 8 · 2018-02-05 09:36:54

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score 61 · Answer 9 · 2026-03-25 07:48:22

61

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Determine the existence of $\alpha \in S_{10}$

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score 55 · Answer 13 · 2026-03-25 12:51:03

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score 80 · Answer 15 · 2018-02-07 13:09:19

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How many different arrangements of $A, B, C, D$, and $E$ which do not contain $AB$ and do not contain $BE$?

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Prove if $\sigma=\sigma_{1}\sigma_{2}\cdots\sigma_{m}$ is product of disjoint cycles, then $\sigma^{lcm(lgth(\sigma _{1})\cdots lgth(\sigma_{m}))}=e$.

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Determine the existence of $\alpha \in S_{10}$

How to find the number of possible ways to climb the staircase

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How many ways can the digits $2,3,4,5,6$ be arranged to get a number divisible by 11

From 4 red, 2 green and 3 white balls, how many selections consisting of 7 balls are possible, if each colour must be represented at least twice?

odd property of Eulerian numbers

How many different arrangements of $A, B, C, D$, and $E$ which do not contain $AB$ and do not contain $BE$?

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