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order of element in symmetric group

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#abstract-algebra #group-theory #symmetric-groups
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Is there an element with no fixed point and of infinite order in $\operatorname{Sym}(X)$ for $X$ infinite?

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#order-theory #axiom-of-choice #ordinals #symmetric-groups
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Symmetric group and commuting elements

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#group-theory #finite-groups #symmetric-groups
481
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The group of permutations with almost all points fixed is a maximal normal subgroup of the symmetric group.

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#group-theory #set-theory #cardinals #symmetric-groups
710
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Symmetry group of the dodecahedron and its subsets

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#geometry #symmetric-groups
287
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Permutation decomposition

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#abstract-algebra #symmetric-groups
333
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Conjugacy classes -- how to generate them for a list to be sorted?

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#permutations #symmetric-groups
127
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Figuring out how many ways to reach from one conjugacy class to another?

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#symmetric-groups #sorting
4.3k
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Multiplication of permutations

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#group-theory #symmetric-groups
15.1k
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Prove that $S_3$ and $S_4$ are solvable groups

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#abstract-algebra #group-theory #finite-groups #symmetric-groups
31.3k
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Conjugate permutations in $S_n$ and / or $A_n$

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#symmetric-groups
81
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How many homomorphims from $Z_{12}$ to $S_{5}$

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#permutations #symmetric-groups
1.2k
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Reflection groups and symmetric group

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#abstract-algebra #group-theory #symmetric-groups #coxeter-groups
103
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Homomorphisms from $S_{5}$ to $\mathbb{Z}_{12}$ , what does it mean the ID subgroup?

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#group-theory #symmetric-groups
531
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Symmetry group - symmetry types

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#group-theory #finite-groups #symmetric-groups

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