Abstract
In this note two results about compact subgroups of locally quasi-convex groups are shown:
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(1)
The quotient group of a locally quasi convex Hausdorff group modulo a compact subgroup is again locally quasi-convex.
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(2)
If a subgroup of a locally quasi-convex group is compact in the weak topology, it is also compact in the original topology.
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Aussenhofer, L. A note on weakly compact subgroups of locally quasi-convex groups. Arch. Math. 101, 531–540 (2013). https://doi.org/10.1007/s00013-013-0588-y
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DOI: https://doi.org/10.1007/s00013-013-0588-y