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

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

- 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)

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

- 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)

- 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)

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

In this paper we consider partial linear spaces containing a set of subspaces isomorphic to affine planes, such that the lines and these afline planes on a fixed point form a non-degenerate polar spaces of rank at least 2. We obtain a complete classification, provided that the rank is at least 3. The study of geometries on the absolute points of polarities… (More)

- Ilaria Cardinali, Bart De Bruyn, Antonio Pasini
- J. Comb. Theory, Ser. A
- 2006

We study (i-)locally singular hyperplanes in a thick dual polar space of rank n. If is not of type DQ(2n, K), then we will show that every locally singular hyperplane of is singular. We will describe a new type of hyperplane in DQ(8, K) and show that every locally singular hyperplane of DQ(8, K) is either singular, the extension of a hexagonal hyperplane in… (More)

- Alberto Del Fra, Dmitrii V. Pasechnik, Antonio Pasini
- Eur. J. Comb.
- 1997

- 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 = 2, can be generated by 2n n − 2n n−2 points and that every finite Hermitian dual polar space DH(2n − 1, q 2), q = 2, can be generated by 2n n points. In the present paper, we show that these conclusions remain valid for symplectic and Hermitian dual polar spaces… (More)