Results 111 to 120 of about 1,573,109 (141)

An essay on skew translation generalized quadrangles

Geometriae Dedicata, 1989
We study a class of generalized quadrangles satisfying a local Moufang condition that is more restrictive than the usual concept of skew translation GQ. A new infinite family is constructed whose point-line duals are translation generalized quadrangles with very small kernel. They have parameters (q2, q), q=3r, for r>2.
Stanley E Payne
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Elation and Translation Generalized Quadrangles

Total Mean Curvature and Submanifolds of Finite Type, 2006
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Finite Translation Generalized Quadrangles

, 2009
My talk is a survey on finite translation generalized quadrangles. To each translation generalized quadrangle of order (s, t), with s not equal 1 not equal t, there corresponds a set O(n, m, q) of q(m) + 1 (n - 1)-dimensional subspaces of the projective ...
Thas, Joseph
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Translation Generalized Quadrangles in Projective Space

Total Mean Curvature and Submanifolds of Finite Type, 2006
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Translation Generalized Quadrangles In Even Characteristic

Combinatorica, 2006
In this paper, we first introduce new objects called “translation generalized ovals” and “translation generalized ovoids”, and make a thorough study of these objects. We then obtain numerous new characterizations of the $$T_{2} {\left( {\user1{\mathcal{O}}} \right)}$$ of Tits and the classical generalized quadrangle $${\user1{\mathcal{Q}}}{\left( {4,q}
Joseph A. Thas, Koen Thas
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Translation Ovoids of Generalized Quadrangles and Hexagnos

Geometriae Dedicata, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bloemen, I., Thas, J. A., Van Maldeghem, H.   +2 more
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Characterizations of Translation Generalized Quadrangles

Designs, Codes and Cryptography, 2001
If \(x\) is a regular point of the generalized quadrangle \({\mathcal S}\) of order \((s,t)\), \(s\neq 1\neq t\), then \(x\) defines a dual net \({\mathcal N}^*_x\). In this paper a particular class of collineations, called transvections with axis \(x\), of the point-line dual of \({\mathcal N}^*_x\), has been introduced. If \({\mathcal S}\) contains a
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Generalized quadrangles with an ovoid that is translation with respect to opposite flags

Archiv der Mathematik, 2005
The authors deal with finite generalized quadrangles with an order which is a pair \((s,t)\) of integers. They are particularly interested in the classical finite generalized quadrangle \(Q(4,q)\) and the ovoid \({\mathcal O}\) of the generalized quadrangle \(\Gamma\), which is a set of points such that on each line of \(\Gamma\) there is exactly one ...
Offer, Alan, Thas, Koen, Van Maldeghem, Hendrik   +2 more
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Flocks of quadratic cones, generalized quadrangles and translation planes

Geometriae Dedicata, 1988
The authors continue their own investigations as well as those of Thas, Fink, Payne and Kantor. In particular, they give an algebraic correspondence between flocks of quadratic cones in PG(3,q) and translation planes of order \(q^ 2\) admitting elation groups of order q whose orbits define reguli.
Gevaert, Hans, Johnson, Norman L.
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Compact connected translation generalized quadrangles

Results in Mathematics, 2000
Classical examples of compact connected translation generalized quadrangles are obtained from quadrics of projective Witt index 1 in compact connected projective spaces (that is, projective spaces over the reals, the complex numbers, or Hamilton's quaternions). In the general case, these incidence structures are described by the translation group \(T\)
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