Invariants of Finite Groups

A module for constructing both characteristic zero and modular invariants of finite groups has been developed by Gregor Kemper and Allan Steel [10]. This includes a new algorithm for computing primary invariants that guarantees that the degrees of the invariants constructed are optimal (with respect to their product and their sum). Magma allows computation in invariant rings over ground fields of arbitrary characteristic. Of particular interest is the modular case, i.e., the case where the characteristic of the ground field divides the order of the group.