Category
page 1Topological groups
positive real number
real number strictly greater than zero
Galois group
group of automorphisms of the Galois extension
topological group
group that is a topological space with continuous group action
Haar measure
left-invariant (or right-invariant) measure on locally compact topological group
fundamental domain
subset of a space acted upon by a group, which contains exactly one point from each of the orbits
topological ring
ring where ring operations are continuous
homogeneous space
topological space that is the space of cosets of a topological group
absolute Galois group
Galois group of the separable closure
almost periodic function
function that "converges" to periodicity
profinite group
topological group that is isomorphic to the inverse (projective) limit of an inverse system of discrete finite groups
locally compact Hausdorff group
topological group for which the underlying topology is locally compact and Hausdorff, so that the Haar measure can be defined
amenable group
locally compact topological group admitting a left- or right-invariant mean
compact group
topological group with compact topology
Peter–Weyl theorem
theorem
One-parameter group
Lie group homomorphism from the real numbers
maximal compact subgroup
concept in topology
von Neumann conjecture
disproved conjecture in group theory
Kronecker's theorem
theorem
prosolvable group
a topological group that is isomorphic to the inverse limit of an inverse system of solvable groups
abelian topological group
topological group whose group is abelian
adelic algebraic group
semitopological group in abstract algebra