Ferreira, Milton2019-02-072019-02-072009-07Ferreira M., Factorizations of Möbius gyrogroups, Adv. Appl. Clifford Algebr., 19 (2) (2009), 303-323.0188-70091661-4909http://hdl.handle.net/10400.8/3819In this paper, we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyrosubgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example, we present the factorization of the Möbius gyrogroup of the unit ball in R^n linked to the proper Lorentz group Spin+(1, n).engMöbius gyrogroupsHilbert spacesQuotient spacesSectionsjournal article10.1007/s00006-009-0154-7