Thu, 04 Dec 2008
14:30 -
15:30
L3
Global and local properties of finite groups revisited
Nadia Mazza
(Lancaster)
Abstract
This is joint work with Diaz, Glesser and Park.
In Proc. Instructional Conf, Oxford 1969, G. Glauberman shows that
several global properties of a finite group are determined by the properties
of its p-local subgroups for some prime p. With Diaz, Glesser and Park, we
reviewed these results by replacing the group by a saturated fusion system
and proved that the ad hoc statements hold. In this talk, we will present
the adapted versions of some of Glauberman and Thompson theorems.