OpenMath Signatures

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Type System: sts
Content Dictionary: group1
CD Signature File: group1.sts

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official

               
Date:  1999-04-29
Author: David Carlisle

            

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declare_group

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
  <OMV name="Set"/>
  <OMA>
    <OMS name="mapsto" cd="sts"/>
    <OMV name="SetElement"/>
    <OMV name="SetElement"/>
    <OMV name="SetElement"/>
  </OMA>
  <OMA>
    <OMS name="mapsto" cd="sts"/>
    <OMV name="SetElement"/>
    <OMV name="SetElement"/>
  </OMA>
  <OMV name="SetElement"/>
  <OMV name="Group"/>
 </OMA>
</OMOBJ>

( Set ( SetElement SetElement >> SetElement ) ( SetElement >> SetElement ) SetElement >> Group )

Content Dictionary Entry.

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is_abelian

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Group >> Boolean )

Content Dictionary Entry.

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group

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nary" cd="sts"/>
     <OMV name="GroupGenerators"/>
    </OMA>
  <OMV name="Group"/>
 </OMA>
</OMOBJ>

( ( GroupGenerators ^* ) >> Group )

Content Dictionary Entry.

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element_set

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( Group >> Set )

Content Dictionary Entry.

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is_subgroup

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Group Group >> Boolean )

Content Dictionary Entry.

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right_transversal

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( Group Group >> Set )

Content Dictionary Entry.

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normal_closure

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
 </OMA>
</OMOBJ>

( Group Group >> Group )

Content Dictionary Entry.

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is_normal

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Group Group >> Boolean )

Content Dictionary Entry.

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quotient_group

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
 </OMA>
</OMOBJ>

( Group Group >> Group )

Content Dictionary Entry.

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conjugacy_class

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
   <OMA>
     <OMS name="structure" cd="sts"/>
     <OMV name="Group"/>
   </OMA>
   <OMV name="Group"/>
   <OMV name="Set"/>
 </OMA>
</OMOBJ>

( Group Group >> Set )

Content Dictionary Entry.

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derived_subgroup

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="Group"/>
 </OMA>
</OMOBJ>

( Group >> Group )

Content Dictionary Entry.

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sylow_subgroup

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMS name="P" cd="setname1"/>
    <OMV name="PGroup"/>
 </OMA>
</OMOBJ>

( Group P >> PGroup )

Content Dictionary Entry.

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character_table_of_group

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Group"/>
    <OMV name="CharacterTable"/> 
	</OMA>
</OMOBJ>

( Group >> CharacterTable )

Content Dictionary Entry.

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character_table

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="List"/>
    <OMV name="List"/>
    <OMV name="List"/>
    <OMV name="List"/>
    <OMV name="Matrix"/>
    <OMV name="CharacterTable"/> 
 </OMA>
</OMOBJ>

( List List List List Matrix >> CharacterTable )

Content Dictionary Entry.

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