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Permutations conjugated

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#symmetric-groups
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Show that the product of two transpositions can be expressed as a product of $3$-cycles

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#abstract-algebra #group-theory #symmetric-groups
153
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$(C_2 )^3$ is not a subgroup of $S_4$

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#combinatorics #group-theory #finite-groups #symmetric-groups
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If $A$ is a matrix with negative eigenvalues, then $\exists M$ : $A = -MM^T$

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#linear-algebra #matrices #eigenvalues-eigenvectors #symmetric-groups #transpose
448
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Transitive group not necessarily have an $n$-cycle

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#abstract-algebra #galois-theory #symmetric-groups
84
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How can I prove that $PSL(2,3)\simeq A_4$?

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#finite-groups #symmetric-groups #group-isomorphism #exceptional-isomorphisms
61
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Showing $PSL(2,9)$ doesn't have a subgroup of order $90$

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#matrices #group-theory #finite-groups #symmetric-groups #linear-groups
120
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Symmetrized monomials under Weyl group?

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#symmetric-groups #symmetric-polynomials #symmetric-functions
45
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Why does $S_4$ act on $V$ as $S_3$ acts on $\{1,2,3\}$?

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#group-theory #finite-groups #symmetric-groups #group-actions
576
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Counting Circular Sequence (Burnside Lemma?)

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#combinatorics #group-theory #finite-groups #permutations #symmetric-groups
137
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Number of permutations$\pi\in S_{30}$ with $\pi(2)<\pi(3)$

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#combinatorics #permutations #combinations #symmetric-groups
177
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Is there a simple way to find the conjugacy classes of $A_n$?

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#group-theory #finite-groups #symmetric-groups
222
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Symmetric group, Braid Groups, and related groups

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#finite-groups #symmetric-groups #group-presentation
74
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Show that $\mathcal D_{12}\cong C_2\times \mathfrak S_3$

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#group-theory #symmetric-groups
3.1k
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Number of elements in $S_6$ conjugate to $(123)(456)$

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#group-theory #symmetric-groups

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