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New posts in symmetric-groups
Show that, for every $n$, $A_{n+2}$ has a subgroup isomorphic to $S_n$
abstract-algebra
group-theory
symmetric-groups
group-isomorphism
Why choose $ab$ and $ab^2$ for group with $6$ elements?
group-theory
finite-groups
proof-explanation
symmetric-groups
group-isomorphism
Random walks on symmetric groups
probability
combinatorics
symmetric-groups
random-walk
Metric on $\Bbb{R}$
general-topology
metric-spaces
symmetric-groups
Intuition behind the construction of Young Symmetrizer
finite-groups
representation-theory
symmetric-groups
Some questions concerning the symmetric group $S_n$
combinatorics
group-theory
symmetric-groups
$S_4/V_4$ isomorphic to $S_3$ - Understanding Attached Tables
abstract-algebra
group-theory
finite-groups
symmetric-groups
normal-subgroups
Symmetric tensor decomposition in higher tensor powers
linear-algebra
representation-theory
tensor-products
symmetric-groups
Non-trivial blocks of order $16$ of $D_{16}$ acting on $8$-gon vertices
group-theory
permutations
group-actions
symmetric-groups
dihedral-groups
Prove that if $G\leq S_n$ of index $2$, then $G=A_n$. [duplicate]
abstract-algebra
group-theory
symmetric-groups
normal-subgroups
On $\ker\chi $ , $\: \chi :{\rm Gal}(E,F)\rightarrow S_n$
abstract-algebra
galois-theory
symmetric-groups
group-isomorphism
Multiplication of two symmetric matrices may not be symmetric
linear-algebra
matrices
symmetric-groups
$p$ is the minimal prime dividing the order of $G$, and $H$ operates on $G/H$ by multiplication. $H/\ker\left(\varphi\right)$ embedded in $S_{p-1}$
group-theory
finite-groups
symmetric-groups
group-homomorphism
Prove that $\tau (x_1 x_2 ... x_k) \tau^{-1} = (\tau(x_1) \tau(x_2) ... \tau (x_k))$
group-theory
symmetric-groups
Representation of $S_3$ without using character theory - Fulton and Harris
abstract-algebra
representation-theory
symmetric-groups
If groups $G$ and $H$ act on $X$, does $G\times H$ act on $X$?
abstract-algebra
group-theory
symmetric-groups
group-actions
For $n\geq 3$ there exist $x,y\in S_n$ such that $x$ and $y$ have order $2$ and $xy$ has order $n$.
group-theory
symmetric-groups
How did the Symmetric group and Alternating group come to be named as such?
combinatorics
group-theory
terminology
math-history
symmetric-groups
Symmetry group of Tetrahedron
group-theory
symmetric-groups
platonic-solids
Clarifications needed for a question concerning ${\rm Aut}(\mathbb{Z}_{2}\times \mathbb{Z}_{2})\cong S_{3}$
abstract-algebra
group-theory
symmetric-groups
automorphism-group
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