Quelle LINS_Index.gi Sprache: unbekannt

Spracherkennung für: .gi vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]

# Append data to the LINS graph
BindGlobal( "LINS_Index_InitGraph_Wrapper",
function(n, l)
    return function(gr)
        gr!.Index := n;
        gr!.NrFound := 0;
        gr!.NrToFind := l;
        gr!.ComputedNormalSubgroups := [];
    end;
end);

# Should subgroups under `rH` be computed?
BindGlobal( "LINS_Index_DoCut",
function(gr, rH)
    if RemInt(gr!.Index, rH!.Index) <> 0 then
        return true;
    fi;
    return false;
end);

# Should the search be terminated?
# We are currently computing the subgroups under `rH`.
# We have computed the normal subgroup `rK`.
# This function may write data to `gr!.ComputedNormalSubgroups`.
BindGlobal( "LINS_Index_DoTerminate",
function(gr, rH, rK)
    if rK!.Index = gr!.Index then
        gr!.NrFound := gr!.NrFound + 1;
        Add(gr!.ComputedNormalSubgroups, rK);
        if gr!.NrFound = gr!.NrToFind then
            return true;
        fi;
    fi;
    return false;
end);

# Compute the index list from the targets
BindGlobal( "LINS_Index_FilterTQuotients",
function(gr, targets)
local n, filteredTargets, entry;
    n := IndexBound(gr);
    filteredTargets := [];
    for entry in targets do
        if entry[1] > n then
            break;
        fi;
        if RemInt(gr!.Index, entry[1]) = 0 then
            Add(filteredTargets, entry);
        fi;
    od;
    return filteredTargets;
end);

# Whether to compute the intersection of the groups `rH` and `rK`
# with the given index.
BindGlobal( "LINS_Index_DoIntersection",
function(gr, rH, rK, index)
    if RemInt(gr!.Index, index) = 0 then
        return true;
    fi;
    return false;
end);

# Whether to compute `p`-quotients under `rH` for the prime `p`
BindGlobal( "LINS_Index_DoPQuotient",
function(gr, rH, p)
    if RemInt(gr!.Index, rH!.Index * p) = 0 then
        return true;
    fi;
    return false;
end);

# Whether to compute the elem. abelian `p`-quotient of given index
# under `rH` for the prime `p`
BindGlobal( "LINS_Index_DoPModule",
function(gr, rH, p, index)
    if RemInt(gr!.Index, index) = 0 then
        return true;
    fi;
    return false;
end);

# See documentation
InstallGlobalFunction( LowIndexNormalSubgroupsSearchForIndex, function(G, n, l, moreOpts...)
    local opts, initGraph;

    if not IsGroup(G) then
        ErrorNoReturn("<G> must be a group!");
    fi;

    if not IsPosInt(n) then
        ErrorNoReturn("<n> must be a positive integer!");
    fi;

    if not (IsPosInt(l) or IsInfinity(l)) then
        ErrorNoReturn("<l> must be a positive integer or infinity!");
    fi;

    if Length(moreOpts) > 1 then
        Error("Unknown number of arguments!");
    elif Length(moreOpts) = 1 then
        moreOpts := moreOpts[1];
    else
        moreOpts := rec();
    fi;

    initGraph := LINS_Index_InitGraph_Wrapper(n, l);

    opts := rec(
        InitGraph := initGraph,
        DoCut := LINS_Index_DoCut,
        DoTerminate := LINS_Index_DoTerminate,
        FilterTQuotients := LINS_Index_FilterTQuotients,
        DoIntersection := LINS_Index_DoIntersection,
        DoPQuotient := LINS_Index_DoPQuotient,
        DoPModule := LINS_Index_DoPModule
    );

    LINS_AppendOptions(opts, moreOpts);

    return LowIndexNormalSubgroupsSearch(G, n, opts);
end);

Quelle LINS_Index.gi Sprache: unbekannt

[ Dauer der Verarbeitung: 0.58 Sekunden ]