TY - BOOK AU - Arasu,K.T. TI - Groups, difference sets, and the monster: proceedings of a special research quarter at the Ohio State University, spring 1993 T2 - Ohio State University Mathematical Research Institute Publications SN - 9783110893106 AV - QC20.7.G76 G79 1996eb U1 - 512/.55 20 PY - 1996/// CY - Berlin, New York PB - Walter de Gruyter KW - Finite groups KW - Congresses KW - Difference sets KW - Number theory KW - Mathematical physics KW - Groupes finis KW - Congrès KW - Ensembles de différence KW - Théorie des nombres KW - Physique mathématique KW - MATHEMATICS KW - Algebra KW - Linear KW - bisacsh KW - fast KW - Electronic books KW - Conference papers and proceedings N1 - Includes bibliographical references; Preface -- Part 1 Groups and Geometry -- On flag-transitive c.c*-geometries -- On the 1-cohomology of the groups SL4(2n), SU4(2n), and Spin7(2n) -- About a conjecture of Guralnick and Thompson -- On the Suzuki groups and the outer automorphisms of S6 -- Note on Lie algebras, finite groups and finite geometries -- m-systems and the BLT property -- A block complex collapsing to the Brauer tree -- Some sporadic geometries -- The uniqueness case -- Part 2 Difference Sets -- Exponent bounds for a family of abelian difference sets; A survey of Hadamard difference setsDifference sets in nilpotent groups with large Frattini quotient: geometric methods and (375, 34, 3) -- A difference set construction of Turyn adapted to semi-direct products -- Difference sets in groups of order 4p4 -- A survey on relative difference sets -- Williamson matrices and difference sets -- Note on Paley type partial difference sets -- Part 3 The Monster -- Anti-bracket formalism with the KÃ?hler geometry -- Singular values of Thompson series -- Understanding groups like Î? 0(N) -- The â?š Monster construction; On vertex operator algebras as SL2-modulesLattices and generalized Hecke operators -- Codes, loops and p-locals -- A generalization of Kac-Moody algebras -- A note on the elliptic curves of Harada-Lang -- Ternary codes and Z3 -orbifold constructions of conformai field theories -- Non-monstrous moonshine -- Monstrous Moonshine and orbifolds UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=558616 ER -