Abstract
A compact group is called a compact Just-Non-Lie group or a compact JNL group if it is not a Lie group but all of its proper Hausdorff quotient groups are Lie groups. We show that a compact JNL group is profinite and a compact nilpotent JNL group is the additive group of p -adic integers for some prime. Examples show that this fails for compact pronilpotent and solvable groups.
Lingua originale | English |
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pagine (da-a) | 625-632 |
Numero di pagine | 8 |
Rivista | Journal of Lie Theory |
Volume | 17 |
Stato di pubblicazione | Published - 2007 |
All Science Journal Classification (ASJC) codes
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