Author 1: A. Broer
Address:
D\'epartement de math\'emathiques et de statistique
Universit\'e de Montr\'eal
C.P. 6128, succursale Centre-ville
Montr\'eal (Qu\'ebec), Canada H3C 3J7

Author 2: V. Reiner
Address:
School of Mathematics,
University of Minnesota,
Minneapolis MN 55455

Author 3: Larry Smith
Address:
Mathematisches Institut
Bunsenstrasse 3-5
D 37073 Goettingen
Federal Republic of Germany

Author 4: P. Webb
Address:
School of Mathematics,
University of Minnesota,
Minneapolis MN 55455

Title:
Extending the coinvariant theorems of Chevalley, Shephard-Todd, Mitchell, and Springer

Abstract:
We extend in several directions invariant theory results of 
Chevalley, Shephard and Todd, Mitchell and Springer.  Their results
compare the group algebra for a finite reflection group
with its coinvariant algebra, and compare a group representation
with its module of relative coinvariants. Our extensions apply to
arbitrary finite groups in any characteristic.

Preprint May 2008.