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book: Groups, Difference Sets, and the Monster
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Groups, Difference Sets, and the Monster

Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993
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Language: English
Published/Copyright: 1996
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Ohio State University Mathematical Research Institute Publications

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    Frontmatter

    I
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    Preface

    V
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  • PART I GROUPS AND GEOMETRY
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    On flag-transitive c.c*-geometries

    3
    Barbara Baumeister
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    On the 1-cohomology of the groups SL4(2n), SU4(2n), and Spίn7(2n)

    23
    Michael F. Dowd
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    About a conjecture of Guralnick and Thompson

    43
    Daniel Frohardt and Kay Magaard
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    On the Suzuki groups and the outer automorphisms of S6

    55
    George Glauberman
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    Note on Lie algebras, finite groups and finite geometries

    73
    William M. Kantor
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    m-systems and the BLT property

    83
    Ernest Shult
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    A block complex collapsing to the Brauer tree

    93
    Stephen D. Smith
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    Some sporadic geometries

    99
    G. Stroth
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    The uniqueness case

    117
    G. Stroth
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  • PART II DIFFERENCE SETS
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    Exponent bounds for a family of abelian difference sets

    129
    K.T. Arasu, James A. Davis, Jonathan Jedwab, Siu Lun Ma and Robert L. McFarland
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    A survey of Hadamard difference sets

    145
    James A. Davis and Jonathan Jedwab
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    Difference sets in nilpotent groups with large Frattini quotient: geometric methods and (375, 34, 3)

    157
    Joel E. Iiams, Robert A. Liebler and Kenneth W. Smith
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    A difference set construction of Turyn adapted to semi-direct products

    169
    D. B. Meisner
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    Difference sets in groups of order 4p4

    175
    Harriet Pollatsek
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    A survey on relative difference sets

    195
    Alexander Pott
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    Williamson matrices and difference sets

    233
    Ming-yuan Xia
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    Note on Paley type partial difference sets

    239
    Qing Xiang
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  • PART ΙII THE MONSTER
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    Anti-bracket formalism with the Kahler geometry

    247
    S. Aoyama
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    Singular values of Thompson series

    255
    Imin Chen and Noriko Yui
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    Understanding groups like Γ0(N)

    327
    J. H. Conway
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    The ̣√Monster construction

    345
    J. H. Conway
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    On vertex operator algebras as sl2-modules

    349
    Chongying Dong, Zongzhu Lin and Geoffrey Mason
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    Lattices and generalized Hecke operators

    363
    Charles R. Ferenbaugh
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    Codes, loops and p-locals

    369
    Robert L. Griess
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    A generalization of Kac-Moody algebras

    377
    K. Harada, M. Miyamoto and H. Yamada
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    A note on the elliptic curves of Harada-Lang

    409
    John McKay
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    Ternary codes and ℤ3-orbifold constructions of conformal field theories

    411
    P. S. Montague
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    Non-monstrous moonshine

    433
    S. P. Norton
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    Monstrous Moonshine and orbifolds

    443
    Michael P. Tuite
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 24, 2011
eBook ISBN:
9783110893106
Hardcover published on:
December 21, 1995
Hardcover ISBN:
9783110147919
Edition:
Reprint 2011
Pages and Images/Illustrations in book
Front matter:
13
Main content:
461
Illustrations:
19
Tables:
10
https://doi.org/10.1515/9783110893106
eBook ISBN: 9783110893106
Hardcover ISBN: 9783110147919
Keywords for this book
Gruppentheorie; Geometrie; Columbus
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