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].
@article{119173,
author = {Larissa V. Sbitneva},
title = {Bol loop actions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {41},
year = {2000},
pages = {405-408},
zbl = {1082.20507},
mrnumber = {1780881},
language = {en},
url = {http://dml.mathdoc.fr/item/119173}
}
Sbitneva, Larissa V. Bol loop actions. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 405-408. http://gdmltest.u-ga.fr/item/119173/
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