WorldCat Identities

Maldeghem, H. van

Overview
Works: 30 works in 81 publications in 4 languages and 2,077 library holdings
Roles: Author, Editor
Publication Timeline
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Most widely held works by H. van Maldeghem
Translation generalized quadrangles by J. A Thas( )

13 editions published in 2006 in English and held by 1,509 WorldCat member libraries worldwide

1. Generalized quadrangles. 1.1. Finite generalized quadrangles. 1.2. Automorphisms. 1.3. Grids and dual grids. 1.4. The classical generalized quadrangles. 1.5. The generalized quadrangles T[symbol](O) and T[symbol](C) of tits. 1.6. The generalized quadrangles T[symbol](O). 1.7. Orders of the known generalized quadrangles. 1.8. Generalized quadrangles with small parameters -- 2. Regularity, antiregularity and 3-regularity. 2.1. Regularity. 2.2. Regularity and dual nets. 2.3. Antiregularity. 2.4. Antiregularity and Laguerre planes. 2.5. 3-regularity. 2.6. 3-regularity and subquadrangles. 2.7. 3-regularity, inversive planes, and characterizations -- 3. Elation and translation generalized quadrangles. 3.1. Some notions from group theory. 3.2. Elation generalized quadrangles. 3.3. Translation generalized quadrangles. 3.4. The kernel of a translation generalized quadrangle. 3.5. T(n,m,q)s and translation generalized quadrangles. 3.6. Regular pseudo-ovals and regular pseudo-ovoids. 3.7. Automorphisms of translation generalized quadrangles. 3.8. Important properties of O(n,m,q). 3.9. Pseudo-ovals. 3.10. Eggs. 3.11. The stabilizer of the base-point of a translation generalized quadrangle. 3.12. Structure of the automorphism group of a translation quadrangle -- 4. Generalized quadrangles and flocks. 4.1. Flocks. 4.2. Flocks and translation planes. 4.3. Flocks of ovoids and hyperbolic quadrics. 4.4. Flocks of cones. 4.5. Semifield flocks. Known examples of semifield flocks. 4.6. Generalized quadrangles and flocks. 4.7. Semifield flocks and translation generalized quadrangles. 4.8. Derivation and BLT-sets. 4.9. Constructions. 4.10. Property (G) for generalized quadrangles of order (s,s[symbol]). 4.11. Flocks, subquadrangles and ovals. Addendum A: isomorphisms of flock quadrangles and associated geometries. 4.12. The fundamental theorem of q-clan geometry, and applications. Addendum B: Basic questions on elation groups. 4.13. The standard conjectures and questions. 4.14. Some results by Payne and K. Thas. 4.15. Elation generalized quadrangles with nonisomorphic elation groups -- 5. Good eggs. 5.1. Good eggs and good translation generalized quadrangles. 5.2. Good eggs and veronese surfaces. 5.3. Coordinatization and applications -- 6. Generalized quadrangles, nets and the axiom of Veblen. 6.1. Generalized quadrangles and the axiom of Veblen. 6.2. Translation generalized quadrangles and the axiom of Veblen. 6.3. Property (G) and the axiom of Veblen. 6.4. Flock generalized quadrangles and the axiom of Veblen. 6.5. Subquadrangles and the axiom of Veblen. 6.6. Nets and characterizations of translation generalized quadrangles -- 7. Ovoids and subquadrangles. 7.1. Ovoids of Q(4,q). 7.2. Subquadrangles and ovoids. 7.3. Translation ovoids and semifield flocks. 7.4. Coordinates of the known nonclassical ovoids of Q(4,q). 7.5. Subquadrangles of T(O), with O good: the even case. 7.6. Subquadrangles of T(O), with O good: the odd case. 7.7. Subquadrangles: remaining cases and some applications. 7.8. Translation generalized quadrangles with one classical subquadrangle. 7.9. Elation generalized quadrangles with a subquadrangle -- 8. Translation generalized ovals. 8.1. Translation generalized ovoids and translation generalized ovals. 8.2. Note on the definition of translation generalized oval/ovoid. 8.3. Characterizations of the T2 (O) of tits. 8.4. A characterization of translation generalized ovals. 8.5. Classification of 2-transitive generalized ovals in even characteristic -- 9. Moufang sets and translation Moufang sets. 9.1. Definition and general results. 9.2. Finite Moufang sets -- 10. Configurations of translation points. 10.1. Span-symmetric generalized quadrangles. 10.2. Groups admitting a 4-Gonal basis. 10.3. SPGQs and Moufang sets. 10.4. Basic structural Lemmas. 10.5. Classification of SPGQs of order (s,t),1<s[symbol]t<s[symbol]. 10.6. SPGQs of order (s,s[symbol]). 10.7. Generalized quadrangles with a line of translation points. 10.8. On the classification of translation generalized quadrangles -- 11. Moufang quadrangles with a translation point. 11.1. Notation. 11.2. Some general elementary Lemmas. 11.3. The Moufang property and analogues. 11.4. Tits generalized quadrangles and tits systems. 11.5. Properties of Moufang quadrangles. 11.6. Half 3-Moufang quadrangles. 11.7. 2-Moufang quadrangles and Fong-Seitz quadrangles. 11.8. Conclusion -- 12. Translation ovoids in translation quadrangles. 12.1. Ovoids, elation or translation with respect to a flag or a point. 12.2. Self-polar elation generalized quadrangles. 12.3. Suzuki-Tits Moufang sets. 12.4. Subtended elation ovoids -- 13. Translation generalized quadrangles in projective space. 13.1. Generalities about Lax embeddings. 13.2. Planar translation-homogeneous embeddings. 13.3. Exceptional non-planar translation-homogeneous embeddings. 13.4. Non-planarly embedded small translation generalized quadrangles. 13.5. Non-planarly embedded translation generalized quadrangles
Generalized polygons by H. van Maldeghem( Book )

30 editions published between 1997 and 2014 in 3 languages and held by 351 WorldCat member libraries worldwide

Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative in the book heighten the sense of beauty of the subject and help to provide further insight into the matter. -- It is a complete introduction to generalized polygons and it is a reliable and extensive source for references on generalized polygons. (…) the theory is developed from scratch (…) All basic properties are given with proofs and the classical examples are discussed in detail. (…) The author is a leading expert on generalized polygons (…) besides original, elegant, geometric proofs by the author the book features also previously unpublished results by other authors. As a real jewel, material on Moufang polygons presented by Jacques Tits in lectures and seminars at the Collège de France is worked into the book. (Zentralblatt MATH)
Œuvres = collected works by Jacques Tits( Book )

4 editions published in 2013 in 3 languages and held by 47 WorldCat member libraries worldwide

Quadratic quaternary rings with valuation and affine buildings of type C̃₂ by H. van Maldeghem( Book )

3 editions published in 1989 in English and held by 34 WorldCat member libraries worldwide

A characterization of some rank 2 incidence geometries by their automorphism group by Francis Buekenhout( Book )

3 editions published in 1994 in English and German and held by 18 WorldCat member libraries worldwide

Oeuvres. Collected works by Jacques Tits( Book )

1 edition published in 2013 in French and held by 15 WorldCat member libraries worldwide

A characterization of some rank 2 incidence geometries by their automorphism group by Francis Buekenhout( Book )

1 edition published in 1994 in English and held by 14 WorldCat member libraries worldwide

Translation generalized quadrangles by J. A Thas( Book )

1 edition published in 2006 in English and held by 10 WorldCat member libraries worldwide

On opposition in spherical buildings and twin buildings by Peter Abramenko( Book )

1 edition published in 1998 in English and held by 10 WorldCat member libraries worldwide

1-twinnings of buildings by Peter Abramenko( Book )

1 edition published in 1999 in English and held by 10 WorldCat member libraries worldwide

Characterizations of generalized polygons and opposition in rank 2 twin buildings by Peter Abramenko( Book )

3 editions published in 2000 in English and held by 10 WorldCat member libraries worldwide

Connectedness of opposite flag geometries in Moufang polygons by Peter Abramenko( Book )

1 edition published in 1998 in English and held by 9 WorldCat member libraries worldwide

An algebraic characterization of affine buildings of type C̃₂ by H. van Maldeghem( Book )

2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide

Oeuvres. ollected works by Jacques Tits( )

1 edition published in 2013 in French and held by 5 WorldCat member libraries worldwide

A characterization of some rank 2 incidence geometries by their automorphism group( Book )

1 edition published in 1994 in German and held by 5 WorldCat member libraries worldwide

An algebraic characterization of affine buildings of type C̃2 by H. van Maldeghem( Book )

1 edition published in 1990 in English and held by 5 WorldCat member libraries worldwide

Pi: wiskunde, codeertheorie en cryptologie by H. van Maldeghem( Book )

1 edition published in 2004 in Dutch and held by 2 WorldCat member libraries worldwide

Generalized polygons( Book )

1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide

An algebraic characterization of affine buildings of type C̃2. Optimal real parameters for the MSOR method in the case of complex eigenvalues [u.a.] / Otto Huebner. by H. van Maldeghem( Book )

1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide

Quadratic quaternary rings with valuation and affine buildings of type C̃b2s by H. van Maldeghem( Book )

1 edition published in 1989 in English and held by 1 WorldCat member library worldwide

 
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Translation generalized quadrangles
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Generalized polygonsTranslation generalized quadranglesGeneralized polygons
Alternative Names
Hendrik Van Maldeghem 1960-: Faculteit: Wetenschappen Discipline: Wiskunde, Toegepaste Wiskunde en Informatica Eerste aanstelling: 1997

Maldeghem, H. van 1960-...

Maldeghem Hendrik van

Maldeghem, Hendrik van 1960-

Van Maldeghem, H.

Van Maldeghem, Hendrik.

Van Maldeghem, Hendrik 1960-...

VanMaldeghem, Hendrik 1960-

Languages
English (61)

French (4)

German (3)

Dutch (1)