Volume 5 Issue 2/3 | Bulletin of the Belgian Mathematical Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

VOL. 5 · NO. 2/3 | 1998

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Front Matter

Table of Contents, Bull. Belg. Math. Soc. Simon Stevin, vol. 5, no. 2/3 (1998)

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), (1998) Open Access

No abstract available

Articles

Arcs and ovals in infinite {$K$}-clan geometry

Laura Bader, Christine M. O'Keefe

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 127-139, (1998) DOI: 10.36045/bbms/1103408997 Open Access

KEYWORDS: Arcs, ovals, flocks, generalized quadrangles, 51E21, 51E12

No abstract available

Covers of {${\rm PG}(3,q)$} and of finite generalized quadrangles

Aart Blokhuis, Christine M. O'Keefe, Stanley E. Payne, Leo Storme, Henny Wilbrink

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 141-157, (1998) DOI: 10.36045/bbms/1103408998 Open Access

KEYWORDS: Covers, projective space, generalized quadrangles, 51E12, 51E14, 51E21, 51E23

No abstract available

A note on small complete caps in the Klein quadric

Aart Blokhuis, Péter Sziklai

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 159-161, (1998) DOI: 10.36045/bbms/1103408999 Open Access

KEYWORDS: caps, Klein quadric, 51E22

No abstract available

Characterizations for classical finite hexagons

Leen Brouns, Hendrik Van Maldeghem

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 163-176, (1998) DOI: 10.36045/bbms/1103409000 Open Access

KEYWORDS: Moufang hexagon, classical hexagon, geometric hyperplane, regular points, 51E12

No abstract available

Linear spaces of quadrics and new good codes

Andries E. Brouwer

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 177-180, (1998) DOI: 10.36045/bbms/1103409001 Open Access

KEYWORDS: Linear spaces, quadrics, codes, 94B27, 51A45, 51E22

No abstract available

A remark on a construction of Grundhöfer

Julia M. Nowlin Brown

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 181-185, (1998) DOI: 10.36045/bbms/1103409002 Open Access

KEYWORDS: Grundhöfer incidence, incidence, Figueroa plane, Projective plane, non-Desarguesian, 51E15, 51A35

No abstract available

Semipartial geometries and generalized quadrangles of order {$(r,r\sp 2)$}

Matthew R. Brown

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 187-205, (1998) DOI: 10.36045/bbms/1103409003 Open Access

KEYWORDS: generalized quadrangle, semipartial geometry, cover, flock, 51E12, 51D20, 51E14

No abstract available

Large minimal covers of {${\rm PG}(3,q)$}

Aiden A. Bruen, Keldon Drudge

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 207-212, (1998) DOI: 10.36045/bbms/1103409004 Open Access

KEYWORDS: finite projective geometry, minimal covers, 51E23, 51E20

No abstract available

Some properties of inductively minimal geometries

Francis Buekenhout, Philippe Cara

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 213-219, (1998) DOI: 10.36045/bbms/1103409005 Open Access

KEYWORDS: incidence geometry, flag-transitive groups, symmetric groups, 51E24

No abstract available

{$G$}-invariantly resolvable Steiner {$2$}-designs which are {$1$}-rotational over {$G$}

Marco Buratti, Fulvio Zuanni

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 221-235, (1998) DOI: 10.36045/bbms/1103409006 Open Access

KEYWORDS: Fesolvable Steiner {$2$}-design, {$1$}-rotational difference family, 05B05, 51E10

No abstract available

On Buekenhout-Metz unitals

L. Rey A. Casse, Guglielmo Lunardon

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 237-240, (1998) DOI: 10.36045/bbms/1103409007 Open Access

KEYWORDS: Unitals, regular spreads, 51E23, 51E20, 51E21

No abstract available

Monomial flocks of monomial cones in even characteristic

William E. Cherowitzo

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 241-253, (1998) DOI: 10.36045/bbms/1103409008 Open Access

KEYWORDS: flocks, cones, clans, herds, 51E20

No abstract available

New partial geometries constructed from old ones

Frank De Clerck

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 255-263, (1998) DOI: 10.36045/bbms/1103409009 Open Access

KEYWORDS: partial geometries, spreads, 51E14

No abstract available

Subsets of association schemes corresponding to eigenvectors of the Bose-Mesner algebra

Jörg Eisfeld

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 265-274, (1998) DOI: 10.36045/bbms/1103409010 Open Access

KEYWORDS: spreads, finite projective spaces, association schemes, Bose-Mesner algebra, 05E30, 51E20

No abstract available

Plane representations of ovoids

David G. Glynn

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 275-286, (1998) DOI: 10.36045/bbms/1103409011 Open Access

KEYWORDS: Inversive plane, ovoid, oval, conic, Projective plane, pencil, spread, generalized quadrangle, 51E20, 51B10, 51E12, 51E21

No abstract available

Linear sections of {${\rm GL}(4,2)$}

Neil A. Gordon, Guglielmo Lunardon, Ron Shaw

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 287-311, (1998) DOI: 10.36045/bbms/1103409012 Open Access

KEYWORDS: Finite geometry, linear groups, partial spreads, semifield planes, 51E23, 20G40

No abstract available

On the number of rational points on an algebraic curve over a finite field

J. W. P. Hirschfeld, G. Korchmáros

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 313-340, (1998) DOI: 10.36045/bbms/1103409013 Open Access

KEYWORDS: algebraic curve, finite field, arc, 11G20, 14G05, 14G15, 51E15, 51E20

No abstract available

Flag-transitive extensions of dual projective spaces

Cécile Huybrechts, Antonio Pasini

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 341-352, (1998) DOI: 10.36045/bbms/1103409014 Open Access

KEYWORDS: Diagram geometries, alternating form graphs, 51E24

No abstract available

Octonion Hermitian quadrangles

Linus Kramer

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 353-362, (1998) DOI: 10.36045/bbms/1103409015 Open Access

KEYWORDS: Octonians, Clifford algebras, generalized quadrangles, isoparametric hypersurfaces, Cayley planes, 51E12, 17A35, 51H10

No abstract available

Projective embedding of projective spaces

Alexander Kreuzer

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 363-372, (1998) DOI: 10.36045/bbms/1103409016 Open Access

KEYWORDS: projective spaces, embeddings, 51E20

No abstract available

Thin geometries for the Suzuki simple group {${\rm Sz}(8)$}

Dimitri Leemans

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 373-387, (1998) DOI: 10.36045/bbms/1103409017 Open Access

KEYWORDS: Group theory, incidence geometry, 51E24, 20D08

No abstract available

The sets closest to ovoids in {$Q\sp -(2n+1,q)$}

Klaus Metsch

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 389-392, (1998) DOI: 10.36045/bbms/1103409018 Open Access

KEYWORDS: ovoid, quadric, polar space, 51E20, 51E21

No abstract available

On certain twin buildings over tree diagrams

Bernhard Mühlherr, Hendrik Van Maldeghem

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 393-402, (1998) DOI: 10.36045/bbms/1103409019 Open Access

KEYWORDS: Moufang set, Moufang foundation, Steinberg twist, Kac-Moody twin buildings, 2-spherical twin buildings, 51E24

No abstract available

Group invariants of certain Burn loop classes

Gábor P. Nagy

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 403-415, (1998) DOI: 10.36045/bbms/1103409020 Open Access

KEYWORDS: Loop, Bol loop, conjugacy closed loop, automorphism of loops, collineation of {$3$}-nets, Bol reflection, Core, 20N05

No abstract available

Pretty pictures of geometries

B. Polster

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 417-425, (1998) DOI: 10.36045/bbms/1103409021 Open Access

KEYWORDS: finite geometries, pictures, 51E99

No abstract available

Existence of labeled resolvable block designs

Hao Shen, Minjie Wang

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 427-439, (1998) DOI: 10.36045/bbms/1103409022 Open Access

KEYWORDS: block design, resolvable, almost resolvable, labeled design, 05B05

No abstract available

All {$2$}-{$(21,7,3)$} designs are residual

Edward Spence

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 441-445, (1998) DOI: 10.36045/bbms/1103409023 Open Access

KEYWORDS: {$2$}-designs, quasi-residual, ‎classification‎, 05B05

No abstract available

Generalized quadrangles with a thick hyperbolic line weakly embedded in projective space

Anja Steinbach

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 447-459, (1998) DOI: 10.36045/bbms/1103409024 Open Access

KEYWORDS: Weak embedding, generalized quadrangle, polar space, central elation, transvection, Mougang condition, 51E12, 05B25, 51A45, 51A50

No abstract available

Some new classes of extended generalized quadrangles of order {$(q+1,q-1)$}

Joseph A. Thas

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 461-467, (1998) DOI: 10.36045/bbms/1103409025 Open Access

KEYWORDS: generalized quadrangles, Diagram geometries, extensions, 51E12, 51E20, 51E24

No abstract available

On the dimensions of the root groups of full subquadrangles of Moufang quadrangles arising from algebraic groups

Hendrik Van Maldeghem

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 469-475, (1998) DOI: 10.36045/bbms/1103409026 Open Access

KEYWORDS: Moufang condition, (subtended) ovoids, {$2$}-transitive ovoids, 51E12

No abstract available

A characteristic property of self-orthogonal codes and its application to lattices

Zhe-Xian Wan

Bull. Belg. Math. Soc. Simon Stevin 5 (2/3), 477-482, (1998) DOI: 10.36045/bbms/1103409027 Open Access

KEYWORDS: Self-orthogonal code, cyclotomic field, lattice, irreducible root lattice, 11H06, 94B05

No abstract available

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