Newbetuts
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New posts in symmetric-groups
Prove that if $\pi\in S_n,n\ge3$ and $\forall\sigma\in S_n, \pi\sigma=\sigma\pi$, then $\pi=e$. [duplicate]
abstract-algebra
group-theory
permutations
symmetric-groups
Cyclicness of a quotient of subgroups of infinite cyclic group
abstract-algebra
group-theory
symmetric-groups
cyclic-groups
quotient-group
Normal subgroups of the symmetric group $S_N$
group-theory
representation-theory
finite-groups
symmetric-groups
Subgroup of O(2) isomorphic to $D_n$, matrices that form that group.
group-theory
symmetric-groups
orthogonal-matrices
Outer Automorphisms of $S_n$
abstract-algebra
symmetric-groups
Is it necessary to determine a definite homomorphism here?
group-theory
symmetric-groups
group-homomorphism
What does Heron's formula naturally deform?
combinatorics
euclidean-geometry
symmetric-groups
symmetric-polynomials
symmetric-functions
Finding a subgroup of $S_8$ isomorphic to $\mathbb{Z}_4 \times \mathbb{Z}_4$
abstract-algebra
group-theory
solution-verification
symmetric-groups
group-isomorphism
How to classify polyominoes by shape
combinatorics
geometry
symmetric-groups
hash-function
polyomino
Field of definition of representations of symmetric groups
representation-theory
symmetric-groups
Permutation group sending even to even and odd to odd
group-theory
permutations
symmetric-groups
permutation-cycles
parity
Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
group-theory
permutations
symmetric-groups
What is a twisted symmetric group?
abstract-algebra
group-theory
definition
symmetric-groups
The group of permutations with almost all points fixed is a maximal normal subgroup of the symmetric group.
group-theory
set-theory
cardinals
symmetric-groups
Applications of the fact that a group is never the union of two of its proper subgroups
group-theory
abelian-groups
symmetric-groups
Proving a function is in the symmetric group [closed]
group-theory
symmetric-groups
Are symmetries necessary in group action?
group-theory
finite-groups
representation-theory
group-actions
symmetric-groups
The "fake $\mathrm{GL}_2(\mathbb{F}_3)$" and the binary octahedral group
group-theory
finite-groups
representation-theory
symmetric-groups
exceptional-isomorphisms
Show the centralisers $C_{S_6}(s)$ and $C_{S_6}(t)$ are isomorphic to $S_{3} \times C_{3}$
group-theory
permutations
symmetric-groups
A question on partitions of n
combinatorics
representation-theory
integer-partitions
symmetric-groups
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