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We announce the creation of a database of invariant rings. This database contains a large number of invariant rings of finite groups, mostly in the modular case. It gives information on generators and structural properties of the invariant rings. The main purpose is to provide a tool for researchers in invariant theory.
We give effective necessary and sufficient conditions for a quadratically defined 2-relator prop group to be mild and apply these results to give examples of 2-extensions with restricted ramification over an imaginary quadratic base field for which the associated Galois group is a mild 2-relator pro-2-group. Contents 1. Introduction 281 2. Computation of… (More)