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15
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Isometries: Order of elements that contain a flip

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#abstract-algebra #symmetric-groups #isometry
232
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Find all elements of the set $ \{ \sigma \in S_6 : \sigma(12)(34)\sigma^{-1}=(12)(34)\}$

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#abstract-algebra #group-theory #finite-groups #symmetric-groups
86
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Symmetric group action on polynomials in ${2n}$ variables

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#group-theory #polynomials #symmetric-groups #group-actions
29
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Wallpaper Pattern: Point Group rotation in lattice basis is in $O_2(\mathbb Z)$?

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#group-theory #symmetric-groups
1.2k
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Order of the Alternating group

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#abstract-algebra #symmetric-groups
213
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Confusion about step in a proof that no group of order $120$ is simple

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#abstract-algebra #group-theory #symmetric-groups #sylow-theory #simple-groups
88
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Prime order of a cycle in the alternating group

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#symmetric-groups #permutation-cycles
299
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How we can find the symmetric group with least $n$ whose subgroup of it is isomorphic to $G$?

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#group-theory #symmetric-groups #group-isomorphism
54
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Topology of pointwise convergence on symmetric groups

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#general-topology #symmetric-groups #automorphism-group
306
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Question regarding the proof of $\operatorname{Aut}(S_4)\cong S_4$

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#abstract-algebra #group-theory #proof-explanation #symmetric-groups #permutation-cycles
197
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Functional Equations, Linear Symmetry, Group Theory

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#group-theory #functional-equations #symmetric-groups
135
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Wallpaper Pattern: is this pmg?

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#group-theory #symmetric-groups
1.1k
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Number of Automorphisms of $S_6$

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#group-theory #symmetric-groups #automorphism-group
111
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What does it mean to find a symmetry which induces the transposition $(1,2)$ of the vertices of a Tetrahedron?

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#abstract-algebra #group-theory #symmetric-groups #permutation-cycles
237
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Subgroup generated by a set of permutations in $S_6$

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#group-theory #permutations #symmetric-groups #online-resources

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