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

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#abstract-algebra #permutations #symmetric-groups
280
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Decompose the permutation module $M^{(2, 2)}$ into irreducible representations.

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#representation-theory #symmetric-groups #integer-partitions
238
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Determine the group of symmetries, giving a set of generators.

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#symmetric-groups #symmetry
800
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The number of homomorphisms from $S_5$ to $A_6$

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#abstract-algebra #group-theory #symmetric-groups
87
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Find all k, such that $A_{k}= \left \{\sigma ^{k}|\sigma \in S_{n} \right \}$ is a subgroup of $S_{n}$

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#abstract-algebra #symmetric-groups
741
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Infinite dimensional irreducible complex representations of $S_n$

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#abstract-algebra #group-theory #representation-theory #symmetric-groups
532
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Image of Young symmetrizer on tensor product decomposition

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#group-theory #representation-theory #tensors #symmetric-groups #multilinear-algebra
44
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How to express $(142536)$ as string of $(13456)$ and $(132)$ in $S_6$?

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#abstract-algebra #symmetric-groups
1.3k
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Find the number of permutations of order 2 in symmetric group $S_5$.

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#abstract-algebra #permutations #symmetric-groups
58
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Attribute of the graph of transpositions

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#abstract-algebra #group-theory #symmetric-groups
1.6k
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A difficulty in understanding that $A_4$ has no subgroup of order 6.

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#abstract-algebra #group-theory #finite-groups #permutations #symmetric-groups
536
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Schur polynomials on 1's and -1's

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#combinatorics #representation-theory #symmetric-groups #symmetric-polynomials
98
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Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.

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#linear-algebra #permutations #symmetric-groups #multilinear-algebra
109
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Rubik's Cube and the symmetric group

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#group-theory #permutations #symmetric-groups #rubiks-cube
166
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Finding An Inverse Of K-Cycle

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#group-theory #permutations #symmetric-groups

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