Volume: 111; 1990; 312 pp; Softcover
MSC: Primary 05; 51; 00;
Print ISBN: 978-0-8218-5118-0
Product Code: CONM/111
List Price: $76.00
AMS Member Price: $60.80
MAA Member Price: $68.40
Electronic ISBN: 978-0-8218-7699-2
Product Code: CONM/111.E
List Price: $71.00
AMS Member Price: $56.80
MAA Member Price: $63.90
Finite Geometries and Combinatorial Designs
Share this pageEdited by Earl S. Kramer; Spyros S. Magliveras
More than eighty participants from all over the world
attended an AMS Special Session on Finite Geometries and Combinatorial
Designs held in Lincoln, Nebraska, in the fall of 1987. This volume
contains the proceedings of that Special Session, in addition to
several invited papers. Employing state-of-the-art combinatorial and
geometric methods, the papers show significant advances in this
area. Topics range over finite geometry, combinatorial designs, their
automorphism groups, and related structures.
Requiring graduate-level background, this book is intended primarily for
researchers in finite geometries and combinatorial designs. However,
the interested nonspecialist will find that the book provides an
excellent overview of current activity in these areas.
Table of Contents
Finite Geometries and Combinatorial Designs
- Contents xi12 free
- Preface xiii14 free
- List of Contributors xv16 free
- List of Participants xvii18 free
- A Note on Hamilton Cycles in Block-Intersection Graphs 120 free
- All Dicyclic Groups of Order at Least Twelve Have Symmetric Sequencings 524
- Concerning Pairwise Balanced Designs With Prime Power Block Sizes 2342
- On the p-Rank of Incidence Matrices and a Question of E.S. Lander 3958
- On the Dempwolff Plane 4766
- Difference Sets in 2-Groups 6584
- On the Existence of Room Squares with Subsquares 7392
- A Bound for Blocking Sets in Finite Projective Planes 93112
- Sets With More Than One Representation as an Algebraic Curve of Degree Three 99118
- Flocks and Partial Flocks of Quadric Sets 111130
- The Finite Flag-Transitive Linear Spaces with an Exceptional Automorphism Group 117136
- Constructing 6-(14,7,4) Designs 137156
- On the Classification of Finite Cn-Geometries with Thick Lines 153172
- Cyclic Codes and Cyclic Configurations 171190
- Designs and Approximation 179198
- Flocks, Maximal Exterior Sets, and Inversive Planes 187206
- Self-Orthogonal Designs 219238
- Nonembeddable Quasi-Residual Designs 237256
- Finite Planes And Clique Partitions 279298
- Oval Designs in Quadrics 287306
- On the Order of a Finite Projective Plane and its Collineation Group 299318
- Some Geometric Aspects of Root Finding in GF(qm) 303322
- Automorphism Groups as Linear Groups 309328