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Non-Abelian subgroups and invariants in a unitary group 2
group-theory
finite-groups
representation-theory
lie-groups
lie-algebras
Compute factor group $\dfrac{\mathbb{Z}_4 \times \mathbb{Z}_6}{\langle(2,3)\rangle}$ - Fraleigh p. 147 Example 15.11
group-theory
finite-groups
Subgroups and invariants in a unitary group U(3)
group-theory
finite-groups
representation-theory
lie-groups
lie-algebras
Exercise 2.13, I. Martin Isaacs' Character Theory
group-theory
representation-theory
finite-groups
What can we say about the size of $HK\cap KH$ when $HK\neq KH$?
abstract-algebra
combinatorics
group-theory
finite-groups
Automorphism group of the Alternating Group - a proof
abstract-algebra
group-theory
finite-groups
permutations
How many subgroups of order $n$ does $D_n$ have?
abstract-algebra
group-theory
finite-groups
dihedral-groups
What are some Group representation of the rubik's cube group?
linear-algebra
group-theory
finite-groups
representation-theory
rubiks-cube
How many group homomorphisms $\phi: S_5\to C_5$ are there?
group-theory
finite-groups
permutations
Is $ G \cong G/N \times N$?
group-theory
finite-groups
$f(x)= {}^tx^{-1}$ is an automorphism of GL$_n(\mathbb{R})$
abstract-algebra
group-theory
finite-groups
An abelian group of order 6 has an element of order 6.
abstract-algebra
group-theory
finite-groups
Definition of the Young Symmetrizer
combinatorics
finite-groups
representation-theory
definition
symmetric-groups
Field that contains $(\mathbb{Z}/p^n\mathbb{Z})^*$
abstract-algebra
finite-groups
field-theory
Is every finite group of isometries a subgroup of a finite reflection group?
group-theory
finite-groups
symmetry
discrete-geometry
coxeter-groups
$G$ abelian if $\Leftrightarrow$ all its irreducible representations are of degree $1$
finite-groups
representation-theory
abelian-groups
Smallest example of a group that is not isomorphic to a cyclic group, a direct product of cyclic groups or a semi direct product of cyclic groups.
abstract-algebra
group-theory
finite-groups
Homomorphism between finite groups; showing the order of the image divides the orders of each group
group-theory
finite-groups
Subgroups of finite abelian groups.
group-theory
finite-groups
abelian-groups
Quotient groups of a finite symmetric group
group-theory
finite-groups
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