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New posts in symmetric-groups
Proving that ${\rm Aut}(S_3)$ is isomorphic to $S_3$
abstract-algebra
group-theory
finite-groups
symmetric-groups
automorphism-group
When is $\mathfrak{S}_n \times \mathfrak{S}_m$ a subgroup of $\mathfrak{S}_p$?
group-theory
finite-groups
symmetric-groups
How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
abstract-algebra
combinatorics
group-theory
permutations
symmetric-groups
Finding the automorphisms of $S_3$ by looking at the orders of the elements
abstract-algebra
group-theory
finite-groups
symmetric-groups
What do all the $k$-cycles in $S_n$ generate?
permutations
symmetric-groups
Conjugate permutations in $S_n$ and / or $A_n$
symmetric-groups
What is the mathematical significance of Penrose tiles?
group-theory
geometry
symmetric-groups
tiling
Proof that $S_3$ isomorphic to $D_3$
group-theory
symmetric-groups
group-isomorphism
dihedral-groups
Low-dimensional Irreducible Representations of $S_n$
representation-theory
symmetric-groups
The smallest nontrivial conjugacy class in $S_n$
abstract-algebra
combinatorics
group-theory
permutations
symmetric-groups
Proving that any permutation in $S_n$ can be written as a product of disjoint cycles
finite-groups
permutations
proof-verification
symmetric-groups
The Weaver Android app $\rightarrow$ cute combinatorics problem
combinatorics
group-theory
finite-groups
puzzle
symmetric-groups
Show that $G/H\cong S_3$
abstract-algebra
group-theory
symmetric-groups
normal-subgroups
Necessary and Sufficient conditions for $(i \, j)$ and $(1 \, 2 \, \dotsc \, n)$ generate $S_n$.
abstract-algebra
group-theory
finite-groups
symmetric-groups
Normal subgroups of infinite symmetric group
permutations
symmetric-groups
normal-subgroups
group-theory
Is there an injective homomorphism between $\mathbb{Z_4} \times \mathbb{Z_4}$ and $S_7$?
abstract-algebra
group-theory
symmetric-groups
group-homomorphism
How does $(12\dots n)$ and $(a\, b)$ generate $S_n$? [duplicate]
abstract-algebra
permutations
symmetric-groups
An Example of Outer Automorphism of $S_6$ with order 2?
abstract-algebra
group-theory
symmetric-groups
Proof that no permutation can be expressed both as the product of an even number of transpositions and as a product of an odd number of transpositions
abstract-algebra
group-theory
permutations
symmetric-groups
counting the number of elements in a conjugacy class of $S_n$
abstract-algebra
group-theory
finite-groups
symmetric-groups
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