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Find "joint" Cycle decomposition from disjoint cycle decomposition.

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#abstract-algebra #group-theory #symmetric-groups
1.3k
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Find the group of symmetries of the Cube

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#abstract-algebra #combinatorics #group-theory #symmetric-groups #symmetry
86
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On the construction of Soergel bimodules

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#polynomials #representation-theory #lie-algebras #symmetric-groups #symmetric-polynomials
78
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skew character with hooks

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#combinatorics #symmetric-groups #characters
82
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Indecomposable Soergel bimodules for $S_3$

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#representation-theory #lie-algebras #symmetric-groups #symmetric-polynomials
394
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Finding subgroups of order m in $S_n$

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#group-theory #symmetric-groups
1.7k
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Number of Sylow $3$ subgroups of $S_4$,not knowing the structure of $S_4$

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#abstract-algebra #symmetric-groups #sylow-theory
1.1k
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Finding all normal subgroups

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#group-theory #symmetric-groups #normal-subgroups #symmetry
1.3k
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Orbits for the diagonal action

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#abstract-algebra #group-theory #symmetric-groups #group-actions
187
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A transitive subgroup of $S_n$ containing a p-cycle with $\frac n2<p<n-2$ is $S_n$ or $A_n$

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#galois-theory #symmetric-groups
69
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Decomposition of subgroup in $S_{8}$ as the direct product of cyclic subgroups

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#group-theory #symmetric-groups
551
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Sum of all permutations of degree $n$

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#summation #permutations #alternative-proof #symmetric-groups
239
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Showing centralizer of element in $S_6$ is not abelian

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#group-theory #finite-groups #permutations #abelian-groups #symmetric-groups
1.3k
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Representations of S3

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#representation-theory #symmetric-groups
770
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$ G \leq S_n$ transitive and n prime $\Rightarrow$ $n$ divides $ord(G)$

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#abstract-algebra #finite-groups #permutations #symmetric-groups

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