By N.S. Narasimha Sastry

1. On Characterizing Designs via Their Codes (B. Bagchi).- 2. The Geometry of Extremal components in a Lie Algebra (A.M. Cohen).- three. homes of a 27-dimensional area of Symmetric Bilinear kinds Acted on via E6 (R. Gow).- four. at the Geometry of worldwide functionality Fields, the Riemann-Roch Theorem, and Finiteness homes of S-arithmetic teams (R. Gramlich).- five. a few comments on Two-Transitive Permutation teams as Multiplication teams of Quasigroups (G. Hiss, F. Lubeck).- 6. Curve Complexes as opposed to knockers structures: constructions and purposes (Lizhen Ji).- 7. On Isotypies among Galois Conjugate Blocks (R. Kessar).- eight. Representations of Unitriangular teams (T. Le, ok. Magaard).- nine. Hermitian Vernonesean Caps (J. Schillewaert, H. Van Maldeghem).- 10. On a category of c.F4-geometries (A. Pasini).- eleven. structures and Kac-Moody teams (B. Remy).- 12. a few Equations Over Finite Fields on the topic of uncomplicated teams of Suzuki and Ree varieties (N.S. Narasimha Sastry).- thirteen. Oppositeness in constructions and straightforward Modules for Finite teams of Lie variety (P. Sin).- 14. Modular Representations, previous and New (B. Srinivasan).- 15. using blocking off units in Galois Geometries and in comparable study parts (V. Pepe, L. Storme).- sixteen. Quadratic activities (F.G. Timmesfeld).- challenge Set

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**Example text**

2. A parapolar space is a connected partial linear gamma space possessing a collection of geodesically closed subspaces, called symplecta The Geometry of Extremal Elements in a Lie Algebra 29 (singular: symplecton), isomorphic to non-degenerate polar spaces of rank at least 2, with the properties that each line is contained in a symplecton and that each pair of distinct non-collinear points having at least 2 common neighbors is contained in a unique symplecton. ) If all symplecta are polar spaces of rank k (respectively, of rank at least k) the space is said to have polar rank k (respectively, polar rank at least k).

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N. Jacobson, Lie algebras, Dover, New York, 1979 21. A. E. Shult, Point-line characterizations of Lie geometries, Adv. in Geometry, 2 (2002), 147–188 22. A. Premet, Lie algebras without strong degeneration, Mat. Sb. 129 (186), 140–153 (translated in Math. USSR Sbornik, 57 (1987), 151–164) 23. A. Premet, Inner ideals in modular Lie algebras, Vests¯ı Akad. Navuk BSSR Ser. -Mat. Navuk, 5 (1986), 11–15 24. A. Premet and H. Strade, Simple Lie algebras of small characteristic: I. Sandwich elements, J.