On basic invariants of some finite subgroups in SL₃(C)

The work is devoted to the study of algebras of invariants of finite unitary groups G' = G∩SL₃(C), where G is a finite unitary irreducible primitive group generated by reflections in the unitary space U³. It is known that the system of invariants of the group G' that form an algebra is obtained from the system of invariants of the group G that form the algebra by adding all semi-invariants of the group G of a special form. In the paper, generators of the algebras of invariants of all the indicated groups G' are constructed.

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