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Greatest Common Divisor in pair of cycles

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#combinatorics #gcd-and-lcm #permutation-cycles
150
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Multiplication of cyclic permutation

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#permutations #permutation-cycles
206
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Regarding longest increasing subsequences in permutations of n elements

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#sequences-and-series #combinatorics #permutations #permutation-cycles
154
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Decomposing a cycle into transpositions

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#group-theory #permutations #permutation-cycles
87
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Prime order of a cycle in the alternating group

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#symmetric-groups #permutation-cycles
27
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Product of a disjoint cycle

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#group-theory #permutation-cycles
610
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Partial Derangement formula for permutation with repeated elements

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#combinatorics #probability-distributions #permutations #permutation-cycles
56
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Product of disjoint cycles in $S_n$

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#group-theory #permutations #permutation-cycles
837
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Number of group homomorphisms from $S_4$ to $S_4$.

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#abstract-algebra #group-theory #permutation-cycles
195
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Find a shuffle of 13 cards that requires 42 repeats to return to the original order

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#abstract-algebra #permutation-cycles
55
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Why is $\mathcal{P}$ = SET($\mathcal{Z}$)?

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#combinatorics #permutations #permutation-cycles #analytic-combinatorics
85
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Finding exponential generating function of the family of specific trees using symbolic method

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#combinatorics #generating-functions #trees #permutation-cycles #analytic-combinatorics
3.1k
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How can I find cyclic subgroups of $S_3$?

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#abstract-algebra #group-theory #cyclic-groups #permutation-cycles
37
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Cycle detection using group ring membership.

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#linear-algebra #graph-theory #group-rings #permutation-cycles
305
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Question regarding the proof of $\operatorname{Aut}(S_4)\cong S_4$

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#abstract-algebra #group-theory #proof-explanation #symmetric-groups #permutation-cycles

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