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Question about how we define permutation group and symmetric group

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#abstract-algebra #group-theory #permutations #symmetric-groups
627
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Show that a dihedral group of order $4$ is isomorphic to $V$, the $4$ group.

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#abstract-algebra #group-theory #symmetric-groups #dihedral-groups
360
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Why $rs=sr^{-1}$ holds with easy computation?

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#abstract-algebra #symmetric-groups
785
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Generators of $A_5$

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#abstract-algebra #group-theory #symmetric-groups
240
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Notation on symmetric groups and their representations

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#group-theory #representation-theory #symmetric-groups
67
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Show that $Aut(G) \leq S_{G}$, the symmetric group.

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#abstract-algebra #group-theory #symmetric-groups #group-isomorphism
65
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Number of elements in the cyclotomic $F$ class.

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#galois-theory #finite-fields #symmetric-groups #roots-of-unity #automorphism-group
7.2k
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Symmetries of a triangular prism

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#group-theory #symmetric-groups
262
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how to prove homomorphism

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#abstract-algebra #group-theory #finite-groups #permutations #symmetric-groups
85
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Minimum size of subgroup

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#abstract-algebra #group-theory #symmetric-groups #group-actions
91
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Symmetric groups over an infinite number of elements.

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#group-theory #permutations #cardinals #symmetric-groups
64
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If $A$ is the alternating operator, prove that $A(A(\omega\otimes\eta)\otimes\nu)=A(\omega\otimes\eta\otimes\nu)$

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#combinatorics #group-theory #permutations #tensor-products #symmetric-groups
32
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Symmetric Group Acting on homocyclic groups

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#group-theory #abelian-groups #symmetric-groups #group-actions
800
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Is every conformal transformation a stereographic projection of an isometry of the inverse projection?

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#geometry #differential-geometry #differential-topology #symmetric-groups #conformal-geometry
51
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Symmetric Group Acting on homocyclic groups pt2

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

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