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Power profile of permutation matrices

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#linear-algebra #matrices #permutations #exponentiation #symmetric-groups
168
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Understanding groups that have a similar presentation as $S_n$

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#abstract-algebra #group-theory #symmetric-groups #group-presentation
1.9k
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Order of cyclic subgroups in symmetric groups

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#group-theory #symmetric-groups #cyclic-groups
2.5k
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Cosets of symmetric groups

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#group-theory #finite-groups #symmetric-groups
156
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Graph Symmetry and Schur's Lemma in Group Representation

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#matrices #graph-theory #representation-theory #symmetric-groups #symmetry
171
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Number of elements of the same cycle type in $S_5$, is this the correct way to think about the combinatorics?

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#combinatorics #group-theory #finite-groups #permutations #symmetric-groups
250
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By Application Of Cayley's Theorem to show Every non-abelian group of order 6 is isomorphic to $S_3$ By Application Of Cayley's Theorem

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#group-theory #symmetric-groups
233
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How to find elements by which 2 elements of $S_n$ are conjugate to each other?

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#abstract-algebra #group-theory #symmetric-groups #normal-subgroups
116
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Symmetric product of union of varieties

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#algebraic-geometry #symmetric-groups #quotient-spaces
1.3k
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Prove that, $\operatorname{Aut}(S_3)\simeq S_3 \simeq \operatorname{Inn}(S_3)$

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#abstract-algebra #group-theory #symmetric-groups #group-isomorphism #automorphism-group
36
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Quick method to find conjugates in cycle notation?

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#group-theory #symmetric-groups
134
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Decomposition of the representation on the symetric group

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#finite-groups #representation-theory #symmetric-groups
278
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How many conjugates cycles are in a cycle?

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#permutations #symmetric-groups
396
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Centralizers in the Symmetric Group

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#finite-groups #symmetric-groups
70
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Identifying generating isometries of a wall paper group

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#group-theory #symmetric-groups #symmetry

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