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Sabinin’s method for classification of local Bol loops. (English) Zbl 0962.20051

Slovák, Jan (ed.) et al., Proceedings of the 18th winter school “Geometry and physics”, Srní, Czech Republic, January 10-17, 1998. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 59, 209-220 (1999).
Die Verfasserin klassifiziert diejenigen 3-dimensionalen differenzierbaren lokalen Bolloops \(L\), deren von den Linkstranslationen topologisch erzeugte Liesche Gruppe \(G\) zu \(\text{PSL}_2(\mathbb{C})\) und deren Stabilisator von \(1\in L\) in \(G\) zu \(\text{SO}_3\) isomorph ist. Es gibt zwei Isotopieklassen solcher Loops.
For the entire collection see [Zbl 0913.00039].

MSC:

20N05 Loops, quasigroups
53A60 Differential geometry of webs
22A22 Topological groupoids (including differentiable and Lie groupoids)
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