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Permutation module $M^\lambda$ as induced module

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#group-theory #representation-theory #symmetric-groups
294
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Representing a 5-cycle as a product of transpositions

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#abstract-algebra #group-theory #permutations #symmetric-groups
262
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Cycle Structure of a Permutation Based on the Binary Representation

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#group-theory #finite-groups #permutations #symmetric-groups
238
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Need help understanding the precise meaning of "unique factorisation of disjoint cycles"

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#permutations #symmetric-groups
474
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How to prove that a given group is isomorphic to Sym(4)?

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#group-theory #finite-groups #symmetric-groups
62
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Composition of groups

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#group-theory #permutations #symmetric-groups #symmetry
805
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$SL_2(\mathbb Z_3)/Z(SL_2(\mathbb Z_3)) \cong A_4$

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#group-theory #symmetric-groups #group-isomorphism #exceptional-isomorphisms
143
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Product of $n(n-1)/2$ polynomials of the same degree is symmetric

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#combinatorics #polynomials #symmetric-groups #symmetric-polynomials
134
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Symmetric Polynomials and Automorphisms of Complex Polynomial Rings

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#combinatorics #symmetric-groups #symmetric-polynomials
140
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The Fifteen Puzzle and $S_n$

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#abstract-algebra #group-theory #symmetric-groups
1.1k
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On the number of conjugacy classes in $S_n$.

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#abstract-algebra #group-theory #permutations #symmetric-groups
306
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transitive subgroups of the symmetric group on $2(d+1)$ elements: can I always do at least $d$ permutations?

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#group-theory #finite-groups #permutations #symmetric-groups
1.4k
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How to use class equation for determining the center of $S_4$

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#abstract-algebra #group-theory #permutations #symmetric-groups
2.5k
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Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition

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#group-theory #permutations #finite-groups #symmetric-groups
97
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Help with some simpler symmetric group $S_n$ problems.

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#abstract-algebra #group-theory #permutations #exponentiation #symmetric-groups

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