 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: Fernando Szechtman, University of Regina
Title: On the group preserving a bilinear form
Date: Friday, December 3, 2004
Time: 3:30PM
Place: Math & Stats Lounge (CW 307.18)
Abstract
Let : V ×V F be a bilinear form defined on a finite dimensional
vector space V over a field F. Let G be the group of all g GL(V )
satisfying (gv, gw) = (v, w) for all v, w V . Classical groups such
as the general linear, symplectic and orthogonal groups, arise in this
fashion for suitable choices of . What can we say the structure of G
under no assumptions on or F? The talk will present joint work with
D. Djokovic (University of Waterloo) on this matter.
Note that in matrix terms we are considering the problem of study
ing the group of all invertible n × n matrices X over a field F which
satisfy X AX = A, where A is an arbitrary n × n matrix over F given
beforehand, and X denotes the transpose of X. For instance if n = 2
