Geodesic
Bol loop actions
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 405-408
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The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
Classification : 20N05, 22A22, 53A60
Keywords: Bol loop action; Lie triple family; Nono family 
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Sbitneva, Larissa. Bol loop actions. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 405-408. http://geodesic.mathdoc.fr/item/CMUC_2000_41_2_a16/