| #### D.7.1.19 primary_charp_without Procedure from library `finvar.lib` (see finvar_lib). Usage: primary_charp_without(G1,G2,...[,v]); G1,G2,...: <matrices> generating a finite matrix group, v: an optional <int> Display: information about the various stages of the programme if v does not equal 0 Return: primary invariants (type <matrix>) of the invariant ring Theory: Bases of homogeneous invariants are generated successively and those are chosen as primary invariants that lower the dimension of the ideal generated by the previously found invariants (see paper "Generating a Noetherian Normalization of the Invariant Ring of a Finite Group" by Decker, Heydtmann, Schreyer (1998)). No Reynolds operator or Molien series is used. Example:
    LIB "finvar.lib";
    ring R=2,(x,y,z),dp;
    matrix A[3][3]=0,1,0,-1,0,0,0,0,-1;
    matrix P=primary_charp_without(A);
    print(P);
    ==> x+y,z,xy

User manual for Singular version 4.4.1, 2025, generated by texi2html.