The Computation of Generalized Invariants

Abstract

In this paper, an algorithm is presented that calculates the module of generalized invariants. Generalized invariants are useful in the study of modular invariant theory, where the characteristic of the base field divides the order of the group. The structure theorems of generalized invariants were given by the author in 2016, and computational aspects of these results are studied in this note. Implementation codes are also provided for MAGMA, computational algebra system.