Santa Cruz 1979

From Groupprops

This article is about a conference

Outline

The Santa Cruz conference on Finite Groups was held at Santa Cruz in 1979. This was around the time when the classification of finite simple groups was nearly complete. Much of the focus of the conference was in organizing what was then known about the sporadic simple groups and trying to peice the classification together.

Contents

Classification theory of finite simple groups

  • An outline of the classification of finite simple groups by Daniel Gorenstein
  • Groups of characteristic 2-type by Michael Aschbacher
  • Aschbacher blocks by Richard Foote
  • Some results on standard blocks by Ronald Mark Solomon
  • Signalizer functors in groups of characteristic 2 type by Richard Lyons
  • The B-conjecture: 2-components in finite simple groups by John D. Walter
  • The maximal 2-component approach to the B(G) conjecture by Ronald Solomon

General theory of groups

Properties of the known groups

Representation theory of groups of Lie-type

Character theory of finite groups

Combinatorics

Computer applications

Connections with number theory and other fields

Documentation

The proceedings of the conference were published in The Santa Cruz conference on Finite Groups by Bruce Cooperstein and Geoffrey Mason, published as Volume 37 of the Proceedings of Symposia in Pure Mathematics by the American Mathematical Society.