New posts in topological-groups

About connected Lie Groups

general-topology differential-geometry lie-groups topological-groups

How to show that topological groups are automatically Hausdorff?

general-topology topological-groups separation-axioms

Useful sufficient conditions for a topological space to be the underlying space of a topological group?

general-topology topological-groups

Why is every discrete subgroup of a Hausdorff group closed?

general-topology algebraic-topology topological-groups

Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup

abstract-algebra general-topology matrices group-theory topological-groups

Product of compact and closed in topological group is closed

general-topology compactness topological-groups

Haar Measure of a Topological Ring

measure-theory reference-request representation-theory topological-groups topological-rings

Open subgroup and finite index subgroup of topological group [closed]

abstract-algebra number-theory topological-groups topological-vector-spaces

Topology on abelian groups

abstract-algebra general-topology abelian-groups topological-groups

Is every group a Galois group?

group-theory galois-theory topological-groups

All connected closed subgroups in $\rm{SO}(3)$

lie-groups topological-groups orthogonal-matrices

$\mathbb{R}$ and $\mathbb{R}^2$ isomorphic as groups?

general-topology group-theory proof-verification vector-spaces topological-groups

Can $S^2$ be turned into a topological group?

general-topology group-theory topological-groups

How to show path-connectedness of $GL(n,\mathbb{C})$

general-topology matrices lie-groups topological-groups connectedness

Given a group $ G $, how many topological/Lie group structures does $ G $ have?

general-topology functional-analysis soft-question lie-groups topological-groups

Is the continuous part of the symmetry group of a compact subset $\mathbb{R}^3$ isomorphic to $SO(k)$?

lie-groups lie-algebras symmetric-groups topological-groups isometry

Which Algebraic Properties Distinguish Lie Groups from Abstract Groups?

group-theory manifolds differential-topology lie-groups topological-groups

Why is this quotient space not Hausdorff?

general-topology topological-groups quotient-spaces separation-axioms