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Expression as a product of disjoint cycles

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#abstract-algebra #permutations #finite-groups #symmetric-groups #permutation-cycles
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Symmetrization of Powersum polynomials

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#symmetric-groups #symmetric-polynomials #algebraic-combinatorics
536
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How to show that $K\leq S_4$ is a normal subgroup?

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#group-theory #symmetric-groups #normal-subgroups
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Rotational symmetries of a simple rectangular solid with application

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#group-theory #symmetric-groups
356
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Why must a finite symmetry group be discrete?

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#group-theory #finite-groups #symmetric-groups #symmetry
142
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Abstract Algebra: Equivalence Classes Under ~(conjugate) Relation

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#abstract-algebra #group-theory #permutations #examples-counterexamples #symmetric-groups
121
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Find an element $\beta \in S_9$ such that $\beta^3 = (35)(1652)(843)(39)$.

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#abstract-algebra #group-theory #symmetric-groups
768
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What is symmetric about the symmetric group?

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#abstract-algebra #group-theory #symmetric-groups
432
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Number of elements of order $5$ in $S_7$: clarification

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#group-theory #symmetric-groups
1.2k
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Finding the 'cube roots' of a permutation

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#group-theory #symmetric-groups
1.9k
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Generators of Symmetric and Alternating Group

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#abstract-algebra #group-theory #finite-groups #permutations #symmetric-groups
729
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Characters of the symmetric group corresponding to partitions into two parts

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#representation-theory #integer-partitions #symmetric-groups #characters
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Subgroups of symmetric group

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#abstract-algebra #group-theory #symmetric-groups
291
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Quote on the Littlewood-Richardson Rule

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#group-theory #representation-theory #applications #symmetric-groups
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Efficient method to determine the order of a permutation in $S_n$

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#abstract-algebra #group-theory #permutations #symmetric-groups

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