Quelle  ppowerpolypcpgroups.gd   Sprache: Shell

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#F ppowerpolypcpgroups.gd     The SymbCompCC package     Dörte Feichtenschlager
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## Declare a new category to be able to handle the groups elements of the Schur 
## Extension with p-power-poly exponents
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## Introduce the category of elements of p-power-poly-pcp groups
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DeclareCategory( "IsPPPPcpGroupsElement", 
                 IsMultiplicativeElementWithInverse );
DeclareCategoryFamily( "IsPPPPcpGroupsElement" );
DeclareCategoryCollections( "IsPPPPcpGroupsElement" );

DeclareSynonym( "IsPPPPcpGroups",
                 IsGroup and IsPPPPcpGroupsElementCollection );

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## Family
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BindGlobal( "PPPPcpGroupsElementFamily", NewFamily( "PPPPcpGroupsElementFamily" , IsPPPPcpGroupsElement, IsPPPPcpGroupsElement ) );
BindGlobal( "PPPPcpGroupsFamily", NewFamily( "PPPPcpGroupsFamily", IsPPPPcpGroups, IsPPPPcpGroups ) );

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## Introduce the representation of elements of p-power-poly-pcp groups and 
## p-power-poly-pcp groups
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DeclareRepresentation( "IsPPPPcpGroupsElementRep", 
                        IsComponentObjectRep,
                        ["word",
                         "div", 
                         "grp_pres" ] );
DeclareRepresentation( "IsPPPPcpGroupsRep", 
                        IsComponentObjectRep, 
                        ["rel", 
                         "n", "d", "m", 
                         "expo", "expo_vec", 
                         "prime", "cc", "name" ] ); 

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## Global Functions
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DeclareGlobalFunction( "PPP_Words_Equal" );

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## Operations
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DeclareOperation("PPPPcpGroupsElement",[IsPPPPcpGroups,IsList,IsList]);
DeclareOperation("PPPPcpGroupsElementNC",[IsPPPPcpGroups,IsList,IsList]);
DeclareOperation("PPPPcpGroupsElement",[IsPPPPcpGroups,IsList]);
DeclareOperation("PPPPcpGroupsElementNC",[IsPPPPcpGroups,IsList]);
DeclareOperation("CollectPPPPcp",[ IsPPPPcpGroupsElement ]);
DeclareOperation("IsConsistentPPPPcp",[ IsPPPPcpGroups ]);
DeclareOperation("IsConsistentPPPPcp",[ IsRecord ]);
#DeclareOperation("RelativeOrder_PPPPcp", [IsPPPPcpGroupsElement] );
DeclareOperation("GAPInputPPPPcpGroups",[IsString,IsPPPPcpGroups]);
DeclareOperation("GAPInputPPPPcpGroups",[IsString,IsRecord]);
DeclareOperation("GAPInputPPPPcpGroupsAppend",[IsString,IsPPPPcpGroups]);
DeclareOperation("GAPInputPPPPcpGroupsAppend",[IsString,IsRecord]);
DeclareOperation("LatexInputPPPPcpGroups",[IsString,IsPPPPcpGroups]);
DeclareOperation("LatexInputPPPPcpGroups",[IsString,IsRecord]);
DeclareOperation("LatexInputPPPPcpGroupsAppend",[IsString,IsPPPPcpGroups]);
DeclareOperation("LatexInputPPPPcpGroupsAppend",[IsString,IsRecord]);
DeclareOperation("LatexInputPPPPcpGroupsAllAppend",[IsString,IsPPPPcpGroups]);
DeclareOperation("LatexInputPPPPcpGroupsAllAppend",[IsString,IsRecord]);
DeclareOperation("AppendPPP",[IsString,IsList] );

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## infoclass
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## InfoConsistenceyPPPPcp: 1 shows consistency rel that fails
##                         2 shows which family of consistency rels 
##                           have been checked
## InfoCollectingPPPPcp: 1 shows what is done during collecting
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DeclareInfoClass( "InfoConsistencyPPPPcp" );
SetInfoLevel( InfoConsistencyPPPPcp, 1 );
DeclareInfoClass( "InfoCollectingPPPPcp" );
SetInfoLevel( InfoCollectingPPPPcp, 0 );

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## variable
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COLLECT_PPOWERPOLY_PCP := true;

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## Global Functions - Collecting
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DeclareGlobalFunction( "Reduce_ci_ppowerpolypcp" );
DeclareGlobalFunction( "Add_ci_c_ppowerpolypcp" );
DeclareGlobalFunction( "Mult_ci_c_ppowerpolypcp" );
DeclareGlobalFunction( "Reduce_word_gi_ppowerpolypcp" );
DeclareGlobalFunction( "Collect_word_ti_ppowerpolypcp" );
DeclareGlobalFunction( "Reduce_word_ti_ppowerpolypcp" );
DeclareGlobalFunction( "Collect_t_y_ppowerpolypcp" );
DeclareGlobalFunction( "Collect_word_gi_ppowerpolypcp" );
DeclareGlobalFunction( "PPPPcpGroups" );
DeclareGlobalFunction( "PPPPcpGroupsNC" );

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## Operations - Collecting
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DeclareOperation( "Collect_ppowerpolypcp", [ IsList, IsPPPPcpGroups ] );

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