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Elements of $A_8$ commuting with $A_5$

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#group-theory #permutations #finite-groups #symmetric-groups
65
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What is a $\{2,3\}$-group?

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#group-theory #terminology #definition #symmetric-groups
104
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Numbers of elements of order $p$ in $Sym(n)$

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#abstract-algebra #group-theory #symmetric-groups
90
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Prove $D_6 \cdot \text{stab}_{S6}(2) \leq S_6.$

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#abstract-algebra #group-theory #symmetric-groups #group-isomorphism #dihedral-groups
84
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Stabiliser of $(12345)\in S_5$ for conjugation.

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#abstract-algebra #group-theory #symmetric-groups #permutation-cycles
63
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Spanning set of symmetric invariants of tensor powers

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#modules #tensor-products #symmetric-groups #invariant-subspace
255
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Intuition on "sharper" Cayley theorem

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#abstract-algebra #group-theory #intuition #symmetric-groups
131
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Cohomology of symmetric group of order $p!$ with coefficient tensor $p$ times of a graded vector space.

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#algebraic-topology #symmetric-groups #group-cohomology
68
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Must two permutations in $S_n$ that only differ at two adjacent positions have different signs (i.e., one is even and one is odd)?

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#abstract-algebra #group-theory #permutations #symmetric-groups #permutation-cycles
91
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Conjugacy classes in a subgroup of symmetric group

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#abstract-algebra #group-theory #symmetric-groups
55
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What is multiplicity in isotypic decompositions

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#representation-theory #symmetric-groups #unitary-matrices #quantum-computation
53
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Example Calculation: Mackey's theorem for $S_5$

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#abstract-algebra #solution-verification #representation-theory #symmetric-groups
69
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Ways to express the identity permutation as precisely $2r$ transpositions in $S_n$

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#combinatorics #symmetric-groups #permutation-cycles
303
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How does Sage order its symmetric group elements?

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#group-theory #symmetric-groups #sagemath
28
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Simple modules for the image of $\mathbb C S_\ell$ in $\mbox{End}(V^{\otimes \ell})$ and Schur-Weyl duality

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#representation-theory #symmetric-groups

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