eBook ISBN:  9780821876305 
Product Code:  CONM/45.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876305 
Product Code:  CONM/45.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 45; 1985; 350 ppMSC: Primary 20
These conference papers should dispel any postclassification pessimism about the future of the theory of finite simple groups. Having noted that the theory developed for the classification touches on so few other branches of mathematics, the editor focuses on research in finite simple groups not central to the classification and presents a broad context for the recent results in the field. The papers are aimed at researchers and graduate students in algebra. They pay special attention to current research in sporadic geometry, the FischerGriess Monster group, and moonshine.
Though all the papers are of high research value, the following papers of unusual significance should be singled out: Frenkel, Lepowsky, and Meurman's construction of the Monster group \(F_1\); Conway and Queen's computation of characters of \(E_8({\bf C})\); Norton's proof of the uniqueness of the Monster; and Mason's exploration of moonshine.

Table of Contents

Articles

Francis Buekenhout — Diagram geometries for sporadic groups [ MR 822231 ]

Colin M. Campbell — Symmetric presentations and linear groups [ MR 822232 ]

Leonard Chastkofsky — Rationality of certain zeta functions associated with modular representation theory [ MR 822233 ]

J. H. Conway and L. Queen — Computing the character table of a Lie group [ MR 822234 ]

D. Dummit, H. Kisilevsky and J. McKay — Multiplicative products of $\eta $functions [ MR 822235 ]

I. B. Frenkel, J. Lepowsky and A. Meurman — An $E_8$approach to $F_1$ [ MR 822236 ]

Robert L. Griess, Jr. — The Monster and its nonassociative algebra [ MR 822237 ]

William M. Kantor — Some consequences of the classification of finite simple groups [ MR 822238 ]

Horst Knörrer — Group representations and the resolution of rational double points [ MR 822239 ]

Geoffrey Mason — $M_{24}$ and certain automorphic forms [ MR 822240 ]

R. V. Moody — Generalized root systems and characters [ MR 822241 ]

S. P. Norton — The uniqueness of the FischerGriess Monster [ MR 822242 ]

Edmund F. Robertson — Efficiency of finite simple groups and their covering groups [ MR 822243 ]

M. A. Ronan — Buildings and sporadic groups [ MR 822244 ]

Stephen D. Smith — On the head characters of the Monster simple group [ MR 822245 ]

Stephen D. Smith — Residual geometries for sporadic and classical groups—a survey [ MR 822246 ]

Robert Steinberg — Some consequences of the elementary relations in ${\rm SL}_n$ [ MR 822247 ]


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These conference papers should dispel any postclassification pessimism about the future of the theory of finite simple groups. Having noted that the theory developed for the classification touches on so few other branches of mathematics, the editor focuses on research in finite simple groups not central to the classification and presents a broad context for the recent results in the field. The papers are aimed at researchers and graduate students in algebra. They pay special attention to current research in sporadic geometry, the FischerGriess Monster group, and moonshine.
Though all the papers are of high research value, the following papers of unusual significance should be singled out: Frenkel, Lepowsky, and Meurman's construction of the Monster group \(F_1\); Conway and Queen's computation of characters of \(E_8({\bf C})\); Norton's proof of the uniqueness of the Monster; and Mason's exploration of moonshine.

Articles

Francis Buekenhout — Diagram geometries for sporadic groups [ MR 822231 ]

Colin M. Campbell — Symmetric presentations and linear groups [ MR 822232 ]

Leonard Chastkofsky — Rationality of certain zeta functions associated with modular representation theory [ MR 822233 ]

J. H. Conway and L. Queen — Computing the character table of a Lie group [ MR 822234 ]

D. Dummit, H. Kisilevsky and J. McKay — Multiplicative products of $\eta $functions [ MR 822235 ]

I. B. Frenkel, J. Lepowsky and A. Meurman — An $E_8$approach to $F_1$ [ MR 822236 ]

Robert L. Griess, Jr. — The Monster and its nonassociative algebra [ MR 822237 ]

William M. Kantor — Some consequences of the classification of finite simple groups [ MR 822238 ]

Horst Knörrer — Group representations and the resolution of rational double points [ MR 822239 ]

Geoffrey Mason — $M_{24}$ and certain automorphic forms [ MR 822240 ]

R. V. Moody — Generalized root systems and characters [ MR 822241 ]

S. P. Norton — The uniqueness of the FischerGriess Monster [ MR 822242 ]

Edmund F. Robertson — Efficiency of finite simple groups and their covering groups [ MR 822243 ]

M. A. Ronan — Buildings and sporadic groups [ MR 822244 ]

Stephen D. Smith — On the head characters of the Monster simple group [ MR 822245 ]

Stephen D. Smith — Residual geometries for sporadic and classical groups—a survey [ MR 822246 ]

Robert Steinberg — Some consequences of the elementary relations in ${\rm SL}_n$ [ MR 822247 ]