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15
75
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Mastery over the groups $S_n,A_n,D_n$ and $Q_8$

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#reference-request #book-recommendation #quaternions #dihedral-groups #permutation-cycles
58
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Permutation property of "law of cosines" stated more compactly through abstract algebra

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#group-theory #trigonometry #analytic-geometry #permutation-cycles
40
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Permutation of set

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#elementary-number-theory #permutation-cycles
40
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Central Limit Theorem for number of cycles. Proof Lloyd and Shepp

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#number-theory #probability-limit-theorems #permutation-cycles
202
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Number of different ways to get permutations of disjoint cycles of given length.

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#combinatorics #group-theory #group-actions #permutation-cycles
160
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Compute the number of distinct actions of cyclic group $C_n$ on a set $X,$ s.t $|X|= n+1.$

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#group-theory #finite-groups #group-actions #cyclic-groups #permutation-cycles
272
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Any algebraic way to check valid permutations on a cube?

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#group-theory #permutation-cycles
97
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Rotations of cube.

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#group-theory #rotations #symmetry #permutation-cycles
95
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Placing red and black colors on $2 \times 4$ chessboards

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#abstract-algebra #combinatorics #discrete-mathematics #solution-verification #permutation-cycles
42
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Coloring $5 \times5$ transparent chessboard in space.

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#combinatorics #discrete-mathematics #solution-verification #permutation-cycles
45
Views

Show that group $\Sigma_3$ can be write as $\mathbb{Z}/ 3\mathbb{Z} \rtimes \mathbb{Z}/ 2\mathbb{Z}$?

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#linear-algebra #permutations #permutation-cycles
71
Views

Generating function from symmetric group and combinatorics

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#combinatorics #permutations #generating-functions #symmetric-groups #permutation-cycles
136
Views

What is the most efficient way to compute cyclic permutation compositions?

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#group-theory #permutations #cyclic-groups #permutation-cycles
32
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Closed expression for a given permutation product

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#combinatorics #permutation-cycles
59
Views

How many non-equivalent configuration of $2 \times 2 \times 2$ Rubik cubes with $6$ distinct colors?

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#combinatorics #group-theory #discrete-mathematics #permutation-cycles #polya-counting-theory

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