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Locally compact groups which are just not compact
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Francesco Russo
Published/Copyright:
March 19, 2010
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.
Received: 2009-07-22
Revised: 2009-08-28
Published Online: 2010-03-19
Published in Print: 2010-June
© de Gruyter 2010
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Articles in the same Issue
- An analog of Morgan's theorem for the Kontorovich–Lebedev transform
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications
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