All Questions
3 questions
3
votes
0
answers
93
views
About the nilpotency of a subgroup
Let $G$ be a compact group. Let $\mathcal N$ be a family of closed normal subgroups of nilpotency class at most $k$. Assume that $\mathcal N$ is closed under finite intersections and $\bigcap_{N\in\...
6
votes
2
answers
832
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Is every continuous action of a compact topological group closed?
I am reading Bredon's Introduction to compact transformation groups, and came across the following result and proof on page 34:
Even though he writes "Recall our standing assumption that $X$ is ...
5
votes
1
answer
530
views
Locally finite compact groups
I assume all tolpological groups here to be Hausdorff. A group is called locally finite if every finitely generated subgroup is finite. What can be said about a locally finite compact group? Must it ...