Journal of Lie Theory

no. 3
On Compact Just-Non-Lie Groups
Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 625-632
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.
DOI: 10.5802/jolt.467
Classification: 22C05, 20E22, 20E34
Keywords: Compact just-non-Lie groups, centerfree compact groups 
@article{JOLT_2007_17_3_a12,
     author = {F. Russo},
     title = {On {Compact} {Just-Non-Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {625--632},
     year = {2007},
     volume = {17},
     number = {3},
     doi = {10.5802/jolt.467},
     zbl = {1136.22004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.467/}
}
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F. Russo. On Compact Just-Non-Lie Groups. Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 625-632. doi: 10.5802/jolt.467

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