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15
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Solve $x^3=(1256)(37)$ in $S_7$

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#abstract-algebra #group-theory #permutations #symmetric-groups
116
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Commuting subgroup pairs in the symmetric group

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#group-theory #symmetric-groups
769
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Let $S$ be a finite set. Show that $\text{Sym}(S)$ is a group.

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#group-theory #finite-groups #symmetric-groups
267
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Calculating the number of conjugate subgroups

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#abstract-algebra #symmetric-groups
42
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Quotient group isomorphic to $A_4$

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#linear-algebra #abstract-algebra #group-theory #symmetric-groups #group-isomorphism
45
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In $S_4$ describe all the leftcosets of the subgroup $D_4$

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#group-theory #symmetric-groups #dihedral-groups
63
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Working in $S_6$ compute $(134) \cdot (12).$

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#group-theory #permutations #symmetric-groups #permutation-cycles
32
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Find the inverse elements for the permutations $(15643)$ and $(143)(256)$.

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#abstract-algebra #group-theory #permutations #symmetric-groups
43
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Is the restriction of standard representation irreducible?

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#representation-theory #symmetric-groups
253
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Prove that a symmetric group $S_n$ has a cyclic subgroup of order $n$.

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#abstract-algebra #group-theory #symmetric-groups #cyclic-groups #permutation-cycles
70
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Restricting representations of the symmetric group to the cyclic group

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#representation-theory #symmetric-groups
74
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Problem in understanding an exercise in representation theory.

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#representation-theory #symmetric-groups
106
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Fixed field of $G(K/\Bbb Q)\cap V$

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#galois-theory #symmetric-groups #galois-extensions #galois-representations
72
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Symmetric powers of the standard representation

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#representation-theory #symmetric-groups
123
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Are all group actions on the simplex permutations?

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#group-theory #permutations #finite-groups #symmetric-groups #group-actions

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