## The classification of SPG-systems of index 2.(English)Zbl 1044.51005

The structure of a $$SPG$$-system in a polar space was introduced and investigated by J. A. Thas in [Adv. Geom. 1, 229–244 (2001; Zbl 0985.51006)]. In the paper under review the author studies new cases both in singular and in nonsingular polar spaces.

### MSC:

 51E14 Finite partial geometries (general), nets, partial spreads 51A50 Polar geometry, symplectic spaces, orthogonal spaces

### Keywords:

polar spaces; Hermitian varieties

Zbl 0985.51006
Full Text:

### References:

 [1] R. H. Dye, Partitions and their stabilizers for line complexes and quadrics. Ann. Mat. Pura Appl. (4) 114 (1977), 173-194. MR 58 #12698 Zbl 0369.50012 · Zbl 0369.50012 [2] Geom. Dedicata 10 pp 135– (1981) [3] Discrete Math. pp 529– (1992) [4] Adv. Geom. 1 (2001) pp 229– (2002) [5] Thas H, J. Combin. Theory Ser. 90 pp 159– (2000) [6] H. Van Maldeghem, Generalized polygons.Birkh user 1998. MR 2000k:51004 Zbl 0914.51005
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