Geodesic
Periodic and trisymmetric spaces of interior type with simple groups of motions
Izvestiya. Mathematics , Tome 61 (1997) no. 6, pp. 1215-1229

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In this paper it is shown that every periodic space of interior type with a real simple group of motions is completely determined by the set of simple roots of the reduced and irreducible root system. A relationship is established between periodic spaces with flag manifolds and Sabinin trisymmetric spaces. A certain generalization of trisymmetric spaces is considered. 
@article{IM2_1997_61_6_a3,
     author = {M. P. Zamakhovskii},
     title = {Periodic and trisymmetric spaces of interior type with simple groups of motions},
     journal = {Izvestiya. Mathematics },
     pages = {1215--1229},
     publisher = {mathdoc},
     volume = {61},
     number = {6},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_6_a3/}
}
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M. P. Zamakhovskii. Periodic and trisymmetric spaces of interior type with simple groups of motions. Izvestiya. Mathematics , Tome 61 (1997) no. 6, pp. 1215-1229. http://geodesic.mathdoc.fr/item/IM2_1997_61_6_a3/