Type: Seminar

Distribution: World

Expiry: 29 Feb 2008

CalTitle1: Algebra Seminar: Weigel -- Finite groups with minimal 1-PIM

Auth: anthonyh@asti.maths.usyd.edu.au

Let G be a finite group, and let p be a divisor of the order of G.
The dimension of P_{1} - the indecomposable projective F[G]-module
with the trivial module in its head - is a multiple - say c_{p}(G) -
of the maximal p-power dividing the order of G. If G is p-soluble,
this value is 1. However, in general the value of c_{p}(G)
is quite mysterious.
Together with G. Malle we have classified all finite simple groups After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |