Accession Number : AD0704128

Title :   SPECIAL PROGRAM IN GROUP THEORY.

Descriptive Note : Final status rept.,

Corporate Author : INSTITUTE FOR ADVANCED STUDY PRINCETON N J

Personal Author(s) : Borel,Armand

Report Date : MAR 1970

Pagination or Media Count : 10

Abstract : The activity at the Institute for Advanced Study under the Special Program on Finite Groups and Algebraic Groups took place at the Institute during the Academic Year 1968-69. There were two main seminars which took place during the whole academic year: (1) Seminar on Representations of Algebraic Groups and Related Finite Groups. The main theme was the linear representations, both modular and over the complex numbers, of groups of rational points of algebraic groups defined over finite fields, and of certain related finite groups. Also presented were a number of topics in algebraic groups, which were both relevant to this topic and of independent interest. (2) Seminar on Finite Simple Groups. There was first a series of lectures addressed to all participants. The seminar then discussed a number of recent advances in the study and construction of finite simple groups. In addition, there were three series of lectures of shorter duration (from one to two months). (3) Block Theory for the Layman, designed to give an introduction for the non-expert to R. Brauer's theory of blocks in representations of finite groups. (4) Simple Groups over Local Fields, and (5) Abstract Homomorphisms of Algebraic Groups. (Author)

Descriptors :   (*GROUPS(MATHEMATICS), SYMPOSIA), RINGS(MATHEMATICS), PERMUTATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE