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Prove that the order of the centralizer $C(κ) ⊂ S_n$ is $6(n − 5)!$

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#group-theory #finite-groups #symmetric-groups
58
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How to check whether a word in $S_n$ is reduced?

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#group-theory #symmetric-groups #combinatorial-group-theory
158
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Finite subgroup of $Isom(\mathbb{R}^n)$ is a symmetric group

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#geometry #finite-groups #symmetric-groups
749
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How to prove that if n divides 4! there is a subgroup of order n in S4.

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#abstract-algebra #group-theory #permutations #symmetric-groups
37
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Prove that $G=S_n$ iff $K_i\neq K_j$ for all pairs $i,j$

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#abstract-algebra #group-theory #finite-groups #symmetric-groups
1k
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Smallest subgroup of $S_4$ containing a set of permutations.

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#abstract-algebra #group-theory #symmetric-groups
704
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Understanding the polytabloid associated with a Young tabeau

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#representation-theory #symmetric-groups
96
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Clarification on the eigenspace of a rotation matrix and its implication in representation theory of the symmetric group

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#linear-algebra #group-theory #eigenvalues-eigenvectors #representation-theory #symmetric-groups
1.5k
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How do Specht modules give us the irreducible representations of $S_n$?

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#representation-theory #symmetric-groups
116
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Determinant computation notation

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#matrices #determinant #symmetric-groups
114
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Order of an element of a permutation group.

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#group-theory #permutations #symmetric-groups
162
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Comparing $S_3$-coinvariants of symmetric and exterior algebra

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#linear-algebra #combinatorics #symmetric-groups #invariant-theory
18
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$S_3$-invariants of some twisted regular-function algebra

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#linear-algebra #representation-theory #symmetric-groups #coxeter-groups
1.5k
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Symmetric Group $S_n$ is Generated by Consecutive Transpositions

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#abstract-algebra #group-theory #permutations #symmetric-groups
376
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The ring $R (G)$ in Serre's Linear Representations of Finite Groups

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#abstract-algebra #ring-theory #representation-theory #symmetric-groups #characters

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