Quelle access.gd Sprache: unbekannt

############################################################################
##
##  access.gd                      IRREDSOL                 Burkhard Höfling
##
##  Copyright © 2003–2016 Burkhard Höfling
##

############################################################################
##
#V  IRREDSOL_DATA
##
##  Data structures for caching the groups and fingerprints in the library,
##  the actual data will be loaded when required.
##
BindGlobal("IRREDSOL_DATA", rec(
    GROUPS := [],             # group descriptions
    GUARDIANS := [],          # guardian data, each group in the library
                              # is a subgroup of a guardian
    GROUPS_LOADED := [],      # indicates which groups have been loaded
    GAL_PERM := [],           # permutation of grops in the library
                              # induced by the Frobenius automorphism
    MAX := [],                # indices of maximal subgroups of the relevant GL
    GROUPS_DIM1 := [],        # group info for dimension 1
    PRIM_GUARDIANS := [],     # primitive groups corresponding to guardians,
                              # each primitive pc group in the library will be a subgroup
                              # of this guardian
    FP := [],                 # fingerprints of groups
    FP_INDEX := [],           # fingerprint index
    FP_ELMS := [],            # fingerprints of elements
    FP_LOADED := []           # indicates which fingerprint files have been loaded
));

############################################################################
##
#F  PermCanonicalIndexIrreducibleSolubleMatrixGroup(<n>, <q>, <d>, <k>)
##
##  computes a record with entries perm, pow, orb, and min where perm is a
##  permutation, orb is the orbit of k under perm, min is the smallest
##  integer in orb, and <k>^(<pi>^<pow>=<min>, such that [<n>, <q>, <d>, <min>]
##  is a valid id for the group obtained by rewriting
##  AbsolutelyIrreducibleSolubleMatrixGroup(n/d, q^d, k) as a matrix group
##  over F_p^n. The result is meaningless if
##  AbsolutelyIrreducibleSolubleMatrixGroup(n/d, q^d, k) does not exist
##
DECLARE_IRREDSOL_FUNCTION("PermCanonicalIndexIrreducibleSolubleMatrixGroup");

############################################################################
##
#F  IndicesIrreducibleSolubleMatrixGroups(<n>, <q>, <d>)
##
##  see the IRREDSOL manual
##
DECLARE_IRREDSOL_FUNCTION("IndicesIrreducibleSolubleMatrixGroups");

############################################################################
##
#F  IrreducibleSolubleMatrixGroup(<n>, <q>, <d>, <k>)
##
##  see the IRREDSOL manual
##
DECLARE_IRREDSOL_FUNCTION("IrreducibleSolubleMatrixGroup");


############################################################################
##
#F  IndicesMaximalAbsolutelyIrreducibleSolubleMatrixGroups(<n>, <q>)
##
##  see the IRREDSOL manual
##
DECLARE_IRREDSOL_FUNCTION("IndicesMaximalAbsolutelyIrreducibleSolubleMatrixGroups");

############################################################################
##
#E
##

Quelle access.gd Sprache: unbekannt

[ Dauer der Verarbeitung: 0.18 Sekunden (vorverarbeitet) ]