Topological group admits up to isomorphism only one smooth structure turning it into a Lie group.
11015
Given a group $ G $, how many topological/Lie group structures does $ G $ have?
14532
Closure of identity element in a topological group is the intersection of its neighborhood system
82989
T4 and first countable topology that is non metrizable
35961
In what sense of "structure" do group homomorphisms "preserve structure"?
53990
Group with more than one element and with no proper, nontrivial sub groups must have prime order.
18687
First and second homotopy groups of a connected Lie group
75391
How to prove that a left-invariant metric on a Lie group is smooth?
114320
Showing that if the center of a group is trivial, then the center of its automorphism group is trivial
135126
Proving that the quotient manifold is orientable if and only if the group action is orientation-preserving
2871
Spaces with equal homotopy groups but different homology groups?
12772
A fiber bundle over Euclidean space is trivial.
108106
If M is a non-orientable closed connected 3 manifold prove H1(M) is an infinite group.
63098
Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
57468
Continuous homorphisms between topological groups.
50026
Product of compact and closed in topological group is closed
149772
How can a Lie subgroup of a matrix Lie group not be a matrix Lie group
2813
What is (meant by) a non-compact $U(1)$ Lie group?