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Words of the Normal Form of the Presentation of a Finite Monoid

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#group-theory #symmetric-groups #permutations
506
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Show that $G/H\cong S_3$

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#abstract-algebra #group-theory #symmetric-groups #normal-subgroups
4.5k
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Elements of order 5 in $A_6$

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#abstract-algebra #proof-verification #symmetric-groups #alternative-proof
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What is the order of the alternating group $A_4$?

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#abstract-algebra #group-theory #symmetric-groups
43
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Problem on symmetric group of order $4$

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#symmetric-groups
781
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About motivation of Lang's Proof $S_n$ is not solvable for $n\geq 5$.

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#abstract-algebra #group-theory #finite-groups #symmetric-groups
51
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For $H$ fixed point free show $|H| \leq n$

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#group-theory #symmetric-groups
208
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Base for symmetric group

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#abstract-algebra #group-theory #finite-groups #representation-theory #symmetric-groups
417
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Representation of the symmetry group (rotations) of the icosahedron

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#group-theory #representation-theory #symmetric-groups
92
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subgroups with cycles

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#group-theory #symmetric-groups
1.9k
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Irreducible representations of $S_3$

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#abstract-algebra #representation-theory #symmetric-groups
125
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Factor Group, Isomorphism

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#abstract-algebra #symmetric-groups
4.8k
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Proof that $A_n$ the only subgroup of $ S_n$ index $2$.

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#group-theory #symmetric-groups
130
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When p is prime number, explain all the elements of $S_p$, whose the order is not divisible by any prime numbers less than p

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#abstract-algebra #symmetric-groups
195
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Flattening Young Tableaux

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#representation-theory #integer-partitions #symmetric-groups #symmetric-polynomials #young-tableaux

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