Combinatorics 1981: Combinatorial Geometrics and Their Applications: Colloquium Proceedings (North-Holland mathematics studies)
By A. Barlotti, etc.
* Publisher: Elsevier Science Ltd
* Number Of Pages: 838
* Publication Date: 1983-01
* ISBN-10 / ASIN: 0444865462
* ISBN-13 / EAN: 9780444865465
The International Conference on Combinatorial Geometries and their
Applications was held in Rome from 7 to 12 June, 1980, to honour the memory
of Beniamino Segre (1903-1977), who stimulated a vast area of research with a
series of fundamental works.
These proceedings contain 76 articles in all, devoted to recent progress in
the following topics: finite geometries (arcs, caps and special varieties in a Galois
space; generalized quadrangles; Benz planes; foundation of geometry) , design
theory, finite groups, coding theory and graph theory in its geometric and design
aspects.
An asterisk following an author's name indicates the presenter of a multiauthored
paper.
At the end of the book are a list of talks not included in these proceedings
and a list of participants.
We are indebted to the University of Rome and to the "ConSiglio Nazionale
delle Ricerche" for financial support. We are also profoundly grateful to the
referees for their assistance.
The conference was also greatly enhanced by the beautiful concert of the
Maestri Guiseppe Selmi and Maria Selmi Dongellini and by the series of films on
Art and Mathematics shown by Prof. Michele Emmer.
Adriano Barlotti
Pier Vittorio Ceccherini
Guiseppe Tallini
CONTENTS
Preface v
A. BARLOTTI, Address to Participants
G. TALUNI, Beniamino Segre 5
L.M. ABATANGELO, Complete arcs in PG(2,q), q even 13
O. AMICI e B. CASCIARO, Intorno ad un teorema di Buekenhout
sulle ovali pascaliane I 7
F. BACHMANN, Orthogonality in reflection geometry 29
C. BARTOLONE, On some translation planes admitting a Frobenius
group of collineations 37
L. BENETEAU, Hall triple systems and related topics 55
w. BENZ, On mappings preserving a single Lorentz-Minkowskidistance.
I 61
C. BERNASCONI, Designs obtained from affine spaces 77
T. BETH and D. JUNGNICKEL, On the codes generated by certain
divisible designs 87
A. BICHARA and F. MAZZOCCA, On a characterization ofthe Grassmann
spaces associated with an affine space 95
A. BICHARA and G. T ALLINI, On a characterization of Grassmann space
representing the h-dimensional subspaces in a projective space 113
R.H. BRUCK, Enriched cliques with six vertices 133
A.A. BRUEN and MJ. DE RESMINI, Blocking sets in affme planes 169
F. BUEKENHOUT, Some building geometries of spherical type as sets
of points and lines 177
K.A. BUSH, "Cyclic" solutions for finite projective planes 181
A.M. COHEN, Points and lines in metasymplectic spaces 193
G. COHEN and P. FRANKL, On generalized perfect codes and
Steiner systems 197
CJ. COLBOURN and M.J. COLBOURN, Greedy colouring of Steiner
triple systems 201
H. CRAPO, Concurrence geometries 209
M. CRISMALE, (q2+q+l).sets of type (0,1 ,2,q+l) in translation planes
of order q2 225
F. DE CLERCK and J .A. THAS, The embedding of (O,a)-geometries in
PG(n,q). Part I 229
M. DE FINIS and MJ. DE RESMINI, On cubic surfaces over a field of
characteristic 3 241
A. DELANDTSHEER, Some characterizations of finite 3 -dimensional
projective spaces and affmo-projective planes 279
J. DENES, On a problem of A. Kotzig 283
R.H.F. DENNISTON, A small4-design 291
M. DEZA, Some new generalizations of sharply t -transitive groups
and sets 295
J. DOYEN and M. LANDUYT, Dissections of polygons 315
A. DRAPAL and T. KEPKA, Group modifications of some partial
groupoids 319
E.w. ELLERS, Bireflectionality 333
G. F AINA and C. KORCHMAROS, A graphic characterization of
hermitian curves 335
S. F ANELLl, On the connectivity of maximal planar graphs with
minimum degree 5 343
R. FUJI-HARA and S.A. VANSTONE, Affme geometries obtained from
projective planes and skew resolutions on AG(3,q) 355
D. GHINELLl SMIT, Automorphisms and generalized incidence
matrices of divisible designs 377
M. GIONFRIDDO, Some results on partial Steiner quadruple systems 401
MJ. GRANNELL and T.S. GRIGGS, Some recent results on cylic
Steiner quadruple systems - A survey 409
L. GUERRA and E. UGHI, On a conjecture of S. Ilkka 419
C. HERING, On homologies of fixed-point-free affme groups 427
R. HILL, On Pellegrino's 20 -caps in S4,3 433
J.W'p. HIRSCHFELD, Caps in elliptic quadrics 449
H. HOTJE, On Cohnfunctions 467
X. HUBAUT and R. METZ, A class of strongly regular graphs related
to orthogonal groups 469
D. HUGHES, On the non-existence of a semi-symmetric 3-design with
78 points 473
T.IHRINGER, On certain linear congruence class geometries 481
N.L. JOHNSON, Translation planes of characteristic p that admit SL(2,pr) 493
W.M. KANTOR, Nondesarguesian planes, partial geometries, strongly
regular graphs and codes arising from hyperbolic quadrics 511
H. KARZEL and M. MARCHI, The projectivity groups of ovals and of
quadratic sets 519
A.D. KEEDWELL, On R-sequenceability and Rb -sequenceability of
groups 535
HJ. KROLL, On the characterization of ftnite Miquelin Mobius planes 549
,
C. LEFEVRE-PERCSY, Copolar spaces fully embedded in projective spaces 553
J.A. LESTER, A physical characterization of conformal transformations
of Minkowski spacetime S67
J.H. VAN LINT, The van der Waerden Conjecture S75
A. MACHI and P. PIZZI, Some extremal results about the genus of a pair
of permutations 581
M. MARCHI and S. PlANT A, Partial parallelism spaces and slit spaces 591
M. MARCHI and E. ZIZIOLI, On a class of kinematic spaces 601
H.F. MATTSON Jr. and J.R. SCHATZ, A brief survey of covering radius 617
F. MAZZOCCA and D.OLANDA, A graphic characterization of the lines
of an affine space 625
W. MIELANTS and H. LEEMANS, Z2 -cohomology of projective spaces of
odd order 635
A. NEUMAIER and K.E. WOLFF, Inequalities for point stable designs 653
S.E. PAYNE, On the structure of translation generalized quadrangles 661
G. PELLEGRINO, Sur les k-arcs complets des planes de Galois
d'ordre impair 667
N. PERCSY, The bundles axiom and egglike subsets of projective spaces 695
A. ROSA and S.A. VANSTONE, Kirkman cubes 699
L.A. ROSA II, Sulle ovali dei piani desarguesiani finiti d'ordine pari 713
J. SAXL, Groups on points and sets 721
E. STRICKLAND, An application of combinatorics of Young tableaux to
geometric problems 725
M. T ALLIN I SCAF A TI, Two characters k -sets with respect to a singular
space in PG(r,q) 731
J.A. THAS and S.E. PAYNE, Moufang conditions for finite generalized
quadrangles 745
MJ. THOMSEN, Nilinearly generated near-algebras 753
K. VEDDER, Affine planes and latin squares 761
A.G .S. VENTRE, Composition of rotations of graphs 769
R. VINCENTI, A sUIvey on varieties of PG(4,q) and Baer subplanes of
translation planes 775
Al. WEISS, On trivalent graphs embedded in twisted honeycombs 781
M.L.H. WILLEMS, Restricted Mi-spaces, restricted U-spaces, optimal
codes and n-arcs 789
G. ZAPPA, Sur des classes de groupes finis resolubles 803
H. ZEITLER, Finite non-euclidean planes 805
Other talks 819
Ust of participants 821
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