Geodesic
On Compact Just-Non-Lie Groups
Francesco Russo1
1Dip. di Matematica, Università di Napoli, Via Cinthia, 80126 Naples, Italy
Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 625-632

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22C05, 20E22, 20E34
Mots-clés : Compact just-non-Lie groups, centerfree compact groups

Francesco Russo  1

1 Dip. di Matematica, Università di Napoli, Via Cinthia, 80126 Naples, Italy 
Francesco Russo. On Compact Just-Non-Lie Groups. Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 625-632. http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a12/
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