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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

Citations:

Zbl 0985.51006
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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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.