## 465 Citations

### Characterizations of symplectic polar spaces

- Mathematics
- 2022

A polar space S is called symplectic if it admits a projective embedding ε : S → PG( V ) such that the image ε ( S ) of S by ε is deﬁned by an alternating form of V . In this paper we characterize…

### An obstruction relating locally finite polygons to translation quadrangles

- Mathematics
- 2014

One of the most fundamental open problems in Incidence Geometry, posed by Tits in the 1960s, asks for the existence of so-called "locally finite generalized polygons" | that is, generalized polygons…

### Local Sharply Transitive Actions on Finite Generalized Quadrangles

- Mathematics, Geology
- 2011

We classify the finite generalized quadrangles containing a line L such that some group of collineations acts sharply transitively on the ordered pentagons which start with two points of L. This can…

### Hearing shapes of drums — mathematical and physical aspects of isospectrality

- Mathematics
- 2010

In a celebrated paper ''Can one hear the shape of a drum?'' M. Kac [Am. Math. Monthly 73, 1 (1966)] asked his famous question about the existence of nonisometric billiards having the same spectrum of…

### On a Class of Hyperplanes of the Symplectic and Hermitian Dual Polar Spaces

- MathematicsElectron. J. Comb.
- 2009

The construction of these hyperplanes allows it to be proved that there exists an ovoid of the Hermitian dual polar space DH arising from its Grassmann-embedding if and only if there exist an empty -Hermitian variety in PG(n 1; K).

### A classification of transitive ovoids, spreads, and m-systems of polar spaces

- Mathematics
- 2009

Abstract Many of the known ovoids and spreads of finite polar spaces admit a transitive group of collineations, and in 1988, P. Kleidman classified the ovoids admitting a 2-transitive group. A.…

### Virtual motives for synthetic geometries, A. Definition and properties of $K_0(\mathcal{Q}_\ell)$

- Mathematics
- 2022

In this note, we introduce the first basics on Grothendieck rings for incidence geometries as a new motivic way and tool to study synthetic geometry. In this first instance, we concentrate on…

### Ju n 20 07 On the Pauli graphs of N-qudits

- Mathematics
- 2021

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N -qudits is performed in which vertices/points correspond to…

### On the packing chromatic number of Moore graphs

- MathematicsDiscret. Appl. Math.
- 2021

### A magic Veldkamp line for three qubits. Representations and geometry

- Mathematics
- 2017

We investigate the structure of the three-qubit magic Veldkamp line (MVL). This mathematical notion has recently shown up as a tool for understanding the structures of the set of Mermin pentagrams,…

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- MathematicsJournal of the Australian Mathematical Society
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Given integers 0 < λ < κ < ν, does there exist a nontrivial graph G with the following properties: G is of order ν (i.e. has ν vertices), is regular of degree κ (i.e. every vertex is adjacent to…

### Projective Geometries Over Finite Fields

- Mathematics
- 1980

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### Generalized Quadrangles Associated with G2(q)

- MathematicsJ. Comb. Theory, Ser. A
- 1980

### Partial quadrangles

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- 1974