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15
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Order of each element in a symmetry group.

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#abstract-algebra #symmetric-groups #cyclic-groups
93
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Ordering on $\lambda$-tabloids

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#representation-theory #symmetric-groups #young-tableaux
164
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Given $G,L \leq S_4$, if $|G| = |L| = 6$, do we have $L \cong G$

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#abstract-algebra #group-theory #symmetric-groups #group-isomorphism
132
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Is there a name given to matrices of the form A'XA or AXA'? A is either symmetric or NOT.

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#symmetric-groups #symmetry #symmetric-matrices
316
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Determining the number of ways to color the faces of a triangular prism with 4 colours using the counting theorem.

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#combinatorics #symmetric-groups
189
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Upper bound on the order of elements in the symmetric group

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#abstract-algebra #symmetric-groups
698
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Tensor product and invariant subspaces

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#representation-theory #symmetric-groups
370
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Counting number of p-Sylow subgroups in $A_n$

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#symmetric-groups #permutation-cycles
69
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Commuting maps of Specht module in Sagan

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#representation-theory #symmetric-groups
64
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If $x \in S_n$ with $x \neq 1$, $n \neq 4$, then there exists $y \in S_n$ with $S_n = \langle x, y \rangle$

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#abstract-algebra #symmetric-groups
356
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If $\mathrm{Stab}(x)_{S_5} \nsubseteq A_5$ then how to prove $[\mathrm{Stab}(x)_{S_5} : \mathrm{Stab}(x)_{A_5}]=2$? Please help

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#group-theory #finite-groups #permutations #symmetric-groups #permutation-cycles
102
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Symmetry Groups

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#abstract-algebra #symmetric-groups #symmetry
124
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Finding group generated by given permutations

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#group-theory #finite-groups #permutations #symmetric-groups
332
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Understanding a proof that if $n \geq 3$, then $A_n$ is generated by all the $3$-cycles

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#abstract-algebra #group-theory #permutations #symmetric-groups
110
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Hook-length formula

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#finite-groups #symmetric-groups #characters #algebraic-combinatorics

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