Finite groups--coming of age : proceedings of the Canadian Mathematical Society conference held on June 15-28, 1982, with partial support from the FCAC (Quebec) and the NSERC (Canada)
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書誌事項
Finite groups--coming of age : proceedings of the Canadian Mathematical Society conference held on June 15-28, 1982, with partial support from the FCAC (Quebec) and the NSERC (Canada)
（Contemporary mathematics, v. 45）
American Mathematical Society, c1985
- : pbk. : alk. paper
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注記
"The Canadian Mathematical Society Conference on Finite Groups--Coming of Age was held at Concordia University, Montreal, Quebec on June 15-28, 1982, with partial support from FCAC (Quebec) and NSERC (Canada)"--T.p. verso
Includes bibliographies
内容説明・目次
内容説明
These conference papers should dispel any post-classification 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 Fischer-Griess 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.
目次
Diagram geometries for sporadic groups by F. Buekenhout Symmetric representations and linear gorups by C. M. Campbell Rationality of certain zeta functions associated with modular reprentation theory by L. Chastkofsky Computing the character table of a Lie group by J. H. Conway and L. Queen Multiplicative products of $\eta$-functions by D. Dummit, H. Kisilevsky, and J. McKay An $E_8$ approach to $F_1$ by I. B. Frenkel, J. Lepowsky, and A. Meurman The Monster and its nonassociative algebra by R. L. Griess, Jr. Some consequences of the classification of finite simple groups by W. M. Kantor Group representations and the resolution of rational double points by H. Knorrer $M_24$ and certain automorphism forms by G. Mason Generalized root systems and characters by R. V. Moody The uniqueness of the Fischer-Griess Monster by S. P. Norton Efficiency of finite simple groups and their covering groups by E. F. Robertson Buildings and sporadic groups by M. A. Ronan On the Head characters of the Monster simple groups by S. D. Smith Residual geometries for sporadic and classical groups by S. D. Smith Some consequences of the elementary relations in $SL_n$ by R. Steinberg.
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