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Finite Geometries and Combinatorial Designs
 
Finite Geometries and Combinatorial Designs
Softcover ISBN:  978-0-8218-5118-0
Product Code:  CONM/111
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7699-2
Product Code:  CONM/111.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5118-0
eBook: ISBN:  978-0-8218-7699-2
Product Code:  CONM/111.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Finite Geometries and Combinatorial Designs
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Finite Geometries and Combinatorial Designs
Softcover ISBN:  978-0-8218-5118-0
Product Code:  CONM/111
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7699-2
Product Code:  CONM/111.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5118-0
eBook ISBN:  978-0-8218-7699-2
Product Code:  CONM/111.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1111990; 312 pp
    MSC: Primary 05; 51; 00;

    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
     
     
    • Articles
    • Brian Alspach, Katherine Heinrich and Bojan Mohar — A note on Hamilton cycles in block-intersection graphs [ MR 1079733 ]
    • B. A. Anderson — All dicyclic groups of order at least twelve have symmetric sequencings [ MR 1079734 ]
    • F. E. Bennett — Concerning pairwise balanced designs with prime power block sizes [ MR 1079735 ]
    • A. A. Bruen and U. Ott — On the $p$-rank of incidence matrices and a question of E. S. Lander [ MR 1079736 ]
    • Marialuisa J. de Resmini — On the Dempwolff plane [ MR 1079737 ]
    • J. F. Dillon — Difference sets in $2$-groups [ MR 1079738 ]
    • J. H. Dinitz and D. R. Stinson — On the existence of Room squares with subsquares [ MR 1079739 ]
    • David A. Drake — A bound for blocking sets in finite projective planes [ MR 1079740 ]
    • J. W. P. Hirschfeld and J. A. Thas — Sets with more than one representation as an algebraic curve of degree three [ MR 1079741 ]
    • N. L. Johnson — Flocks and partial flocks of quadric sets [ MR 1079742 ]
    • Peter B. Kleidman — The finite flag-transitive linear spaces with an exceptional automorphism group [ MR 1079743 ]
    • Donald L. Kreher and Stanisław P. Radziszowski — Constructing $6$-$(14,7,4)$ designs [ MR 1079744 ]
    • Antonio Pasini — On the classification of finite $C_n$-geometries with thick lines [ MR 1079745 ]
    • Vera Pless — Cyclic codes and cyclic configurations [ MR 1079746 ]
    • J. J. Seidel — Designs and approximation [ MR 1079747 ]
    • J. A. Thas — Flocks, maximal exterior sets, and inversive planes [ MR 1079748 ]
    • Vladimir D. Tonchev — Self-orthogonal designs [ MR 1079749 ]
    • Tran Van Trung — Nonembeddable quasi-residual designs [ MR 1079750 ]
    • W. D. Wallis — Finite planes and clique partitions [ MR 1079751 ]
    • Michael A. Wertheimer — Oval designs in quadrics [ MR 1079752 ]
    • Chat Yin Ho — On the order of a finite projective plane and its collineation group [ MR 1079753 ]
    • P. C. van Oorschot and S. A. Vanstone — Some geometric aspects of root finding in ${\rm GF}(q^m)$ [ MR 1079754 ]
    • Johannes Siemons — Automorphism groups as linear groups [ MR 1079755 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1111990; 312 pp
MSC: Primary 05; 51; 00;

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.

  • Articles
  • Brian Alspach, Katherine Heinrich and Bojan Mohar — A note on Hamilton cycles in block-intersection graphs [ MR 1079733 ]
  • B. A. Anderson — All dicyclic groups of order at least twelve have symmetric sequencings [ MR 1079734 ]
  • F. E. Bennett — Concerning pairwise balanced designs with prime power block sizes [ MR 1079735 ]
  • A. A. Bruen and U. Ott — On the $p$-rank of incidence matrices and a question of E. S. Lander [ MR 1079736 ]
  • Marialuisa J. de Resmini — On the Dempwolff plane [ MR 1079737 ]
  • J. F. Dillon — Difference sets in $2$-groups [ MR 1079738 ]
  • J. H. Dinitz and D. R. Stinson — On the existence of Room squares with subsquares [ MR 1079739 ]
  • David A. Drake — A bound for blocking sets in finite projective planes [ MR 1079740 ]
  • J. W. P. Hirschfeld and J. A. Thas — Sets with more than one representation as an algebraic curve of degree three [ MR 1079741 ]
  • N. L. Johnson — Flocks and partial flocks of quadric sets [ MR 1079742 ]
  • Peter B. Kleidman — The finite flag-transitive linear spaces with an exceptional automorphism group [ MR 1079743 ]
  • Donald L. Kreher and Stanisław P. Radziszowski — Constructing $6$-$(14,7,4)$ designs [ MR 1079744 ]
  • Antonio Pasini — On the classification of finite $C_n$-geometries with thick lines [ MR 1079745 ]
  • Vera Pless — Cyclic codes and cyclic configurations [ MR 1079746 ]
  • J. J. Seidel — Designs and approximation [ MR 1079747 ]
  • J. A. Thas — Flocks, maximal exterior sets, and inversive planes [ MR 1079748 ]
  • Vladimir D. Tonchev — Self-orthogonal designs [ MR 1079749 ]
  • Tran Van Trung — Nonembeddable quasi-residual designs [ MR 1079750 ]
  • W. D. Wallis — Finite planes and clique partitions [ MR 1079751 ]
  • Michael A. Wertheimer — Oval designs in quadrics [ MR 1079752 ]
  • Chat Yin Ho — On the order of a finite projective plane and its collineation group [ MR 1079753 ]
  • P. C. van Oorschot and S. A. Vanstone — Some geometric aspects of root finding in ${\rm GF}(q^m)$ [ MR 1079754 ]
  • Johannes Siemons — Automorphism groups as linear groups [ MR 1079755 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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