HIS study was undertaken to find a common factor responsible for the various effects of a suppressor mutation, s, which is able to eliminate the nutritional requirement of certain mutants at the pyrimidine-3 locus and of those at the proline-2 and -3 loci of Neurospora (HOULAHAN and MITCHELL 1947; MITCHELL and MITCHELL 1952). The s gene was not detectable, however, aside from its interaction wi...

Shelah-Woodin [10] investigate the possibility of violating instances of GCH through the addition of a single real. In particular they show that it is possible to obtain a failure of CH by adding a single real to a model of GCH, preserving cofinalities. In this article we strengthen their result by showing that it is possible to violate GCH at all infinite cardinals by adding a single real to a...

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.