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- Antonio Pasini
- 1994

The theory of buildings, created by J. Tits three decads ago, has ooered a uniied geometric treatment of nite simple groups of Lie type, both of classical and of exceptional type. (See Tits 19] and 20] for an exposition of that theory; also Ronan 15] and Brown 1].) Diagram geometry (see 13] for an exposition) is a generalization of the theory of buildings.… (More)

- Tommaso Addabbo, Massimo Alioto, Ada Fort, Antonio Pasini, Santina Rocchi, Valerio Vignoli
- IEEE Trans. on Circuits and Systems
- 2007

- Antonio Pasini, Sergey V. Shpectorov
- J. Comb. Theory, Ser. A
- 2001

Let 2 be a finite thick dual polar space of rank 3. We say that a hyperplane H of 2 is locally singular (respectively, quadrangular or ovoidal) if H & Q is the perp of a point (resp. a subquadrangle or an ovoid) of Q for every quad Q of 2. If H is locally singular, quadrangular, or ovoidal, then we say that H is uniform. It is known that if H is locally… (More)

- Bart De Bruyn, Antonio Pasini
- Electr. J. Comb.
- 2007

Cooperstein [6], [7] proved that every finite symplectic dual polar space DW (2n− 1, q), q 6= 2, can be generated by ( 2n n ) − ( 2n n−2 ) points and that every finite Hermitian dual polar space DH(2n − 1, q2), q 6= 2, can be generated by (2n n ) points. In the present paper, we show that these conclusions remain valid for symplectic and Hermitian dual… (More)

- Hans Cuypers, Antonio Pasini
- Eur. J. Comb.
- 1992

The study of geometries on the absolute points of polarities in projective spaces has been started by Veldkamp [21], who was the first to give a synthetic characterization of these geometries, which he called polar spaces. As part of his work on spherical buildings [19], Tits extended Veldkamp’s results to a somewhat larger class of geometries related to… (More)

- Bruce N. Cooperstein, Antonio Pasini
- J. Comb. Theory, Ser. A
- 2003

Let be a thick dual polar space of rank n ≥ 2 admitting a full polarized embedding e in a finite-dimensional projective space , i.e., for every point x of , e maps the set of points of at non-maximal distance from x into a hyperplane e∗(x) of . Using a result of Kasikova and Shult [11], we are able the show that there exists up to isomorphisms a unique full… (More)

- Ilaria Cardinali, Bart De Bruyn, Antonio Pasini
- Discrete Mathematics
- 2009

Let ∆ be a dual polar space of rank n ≥ 4, H be a hyperplane of ∆ and Γ := ∆\H be the complement of H in ∆. We shall prove that, if all lines of ∆ have more than 3 points, then Γ is simply connected. Then we show how this theorem can be exploited to prove that certain families of hyperplanes of dual polar spaces, or all hyperplanes of certain dual polar… (More)

- Antonio Pasini, Satoshi Yoshiara
- Eur. J. Comb.
- 2001

In [4] we have studied the semibiplanes 6e m,h = A f (S e m,h) obtained as affine expansions of the d-dimensional dual hyperovals of Yoshiara [6]. We continue that investigation here, but from a graph theoretic point of view. Denoting by 0e m,h the incidence graph of (the point-block system of) 6 e m,h , we prove that 0e m,h is distance regular if and only… (More)

- Ilaria Cardinali, Antonio Pasini
- J. Comb. Theory, Ser. A
- 2013