A Just-Non-Compact group, or briefly a JNC group, is a Hausdorff topological group which is not a compact group but all of whose proper Hausdorff quotients are compact groups. Intuitively, it is clear that these groups are rich in compact quotients. Locally compact JNC groups are largely described in the present paper.
Russo, F. (2010). Locally compact groups which are just not compact. ADVANCES IN PURE AND APPLIED MATHEMATICS, 1, 285-291 [10.1515/apam.2010.020].
Locally compact groups which are just not compact
RUSSO, Francesco
2010-01-01
Abstract
A Just-Non-Compact group, or briefly a JNC group, is a Hausdorff topological group which is not a compact group but all of whose proper Hausdorff quotients are compact groups. Intuitively, it is clear that these groups are rich in compact quotients. Locally compact JNC groups are largely described in the present paper.
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