<Chapter><Heading><M>\mathbb ZG</M>-Resolutions and Group Cohomology</Heading>

Resolutions

<Table Align="|l|" >

<Row> <Item>
<Index>EquivariantChainMap</Index>
<#Include SYSTEM "newman/EquivariantChainMap.xml"> </Item> </Row>


<Row> <Item>
<Index>FreeGResolution</Index>
<#Include SYSTEM "newman/FreeGResolution.xml"> </Item> </Row>


<Row> <Item>
<Index>ResolutionBieberbachGroup</Index>
<#Include SYSTEM "newman/ResolutionBieberbachGroup.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionCubicalCrystGroup</Index>
<#Include SYSTEM "newman/ResolutionCubicalCrystGroup.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionFiniteGroup</Index>
<#Include SYSTEM "newman/ResolutionFiniteGroup.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionNilpotentGroup</Index>
<#Include SYSTEM "newman/ResolutionNilpotentGroup.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionNormalSeries</Index>
<#Include SYSTEM "newman/ResolutionNormalSeries.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionPrimePowerGroup</Index>
<#Include SYSTEM "newman/ResolutionPrimePowerGroup.xml"> </Item> </Row>



<Row> <Item>
<Index>ResolutionSL2Z</Index>
<#Include SYSTEM "newman/ResolutionSL2Z.xml"> </Item> </Row>


<Row> <Item>
<Index>ResolutionSmallGroup</Index>
<#Include SYSTEM "newman/ResolutionSmallGroup.xml"> </Item> </Row>

<Row> <Item>
<Index>ResolutionSubgroup</Index>
<#Include SYSTEM "newman/ResolutionSubgroup.xml"> </Item> </Row>

</Table>

Algebras <M>\longrightarrow </M> (Co)chain Complexes

<Table Align="|l|" >
 
<Row> <Item>
<Index>LeibnizComplex</Index>
<#Include SYSTEM "newman/LeibnizComplex.xml"> </Item> </Row>



</Table>


Resolutions <M>\longrightarrow </M> (Co)chain Complexes

<Table Align="|l|" >

<Row> <Item>
<Index>HomToIntegers</Index>
<#Include SYSTEM "newman/HomToIntegers.xml"> </Item> </Row>

<Row> <Item>
<Index>HomToIntegralModule</Index>
<#Include SYSTEM "newman/HomToIntegralModule.xml"> </Item> </Row>


<Row> <Item>
<Index>TensorWithIntegers</Index>
<#Include SYSTEM "newman/TensorWithIntegers.xml"> </Item> </Row>



<Row> <Item>
<Index>TensorWithIntegersModP</Index>
<#Include SYSTEM "newman/TensorWithIntegersModP.xml"> </Item> </Row>


</Table>

Cohomology rings

<Table Align="|l|" >

<Row> <Item>
<Index>AreIsomorphicGradedAlgebras</Index>
<#Include SYSTEM "newman/AreIsomorphicGradedAlgebras.xml"> </Item> </Row>

<Row> <Item>
<Index>HAPDerivation</Index>
<#Include SYSTEM "newman/HAPDerivation.xml"> </Item> </Row>

<Row> <Item>
<Index>HilbertPoincareSeries</Index>
<#Include SYSTEM "newman/HilbertPoincareSeries.xml"> </Item> </Row>

<Row> <Item>
<Index>HomologyOfDerivation</Index>
<#Include SYSTEM "newman/HomologyOfDerivation.xml"> </Item> </Row>





<Row> <Item>
<Index>IntegralCohomologyGenerators</Index>
<#Include SYSTEM "newman/IntegralCohomologyGenerators.xml"> </Item> </Row>

<Row> <Item>
<Index>LHSSpectralSequence</Index>
<#Include SYSTEM "newman/LHSSpectralSequence.xml"> </Item> </Row>

<Row> <Item>
<Index>LHSSpectralSequenceLastSheet</Index>
<#Include SYSTEM "newman/LHSSpectralSequenceLastSheet.xml"> </Item> </Row>




<Row> <Item>
<Index>ModPCohomologyGenerators</Index>
<#Include SYSTEM "newman/ModPCohomologyGenerators.xml"> </Item> </Row>


<Row> <Item>
<Index>ModPCohomologyRing</Index>
<#Include SYSTEM "newman/ModPCohomologyRing.xml"> </Item> </Row>

<Row> <Item>
<Index>Mod2CohomologyRingPresentation</Index>
<#Include SYSTEM "newman/Mod2CohomologyRingPresentation.xml"> </Item> </Row>




</Table>


Group Invariants

<Table Align="|l|" >

<Row> <Item>
<Index>GroupCohomology</Index>
<#Include SYSTEM "newman/GroupCohomology.xml"> </Item> </Row>


<Row> <Item>
<Index>GroupHomology</Index>
<#Include SYSTEM "newman/GroupHomology.xml"> </Item> </Row>


<Row> <Item>
<Index>PrimePartDerivedFunctor</Index>
<#Include SYSTEM "newman/PrimePartDerivedFunctor.xml"> </Item> </Row>

<Row> <Item>
<Index>PoincareSeries</Index>
<#Include SYSTEM "newman/PoincareSeries.xml"> </Item> </Row>

<Row> <Item>
<Index>PoincareSeries</Index>
<#Include SYSTEM "newman/PoincareSeries.xml"> </Item> </Row>

<Row> <Item>
<Index>RankHomologyPGroup</Index>
<#Include SYSTEM "newman/RankHomologyPGroup.xml"> </Item> </Row>



</Table>

<M>\mathbb F_p</M>-modules

<Table Align="|l|" >

<Row> <Item>
<Index>GroupAlgebraAsFpGModule</Index>
<#Include SYSTEM "newman/GroupAlgebraAsFpGModule.xml"> </Item> </Row>

<Row> <Item>
<Index>Radical</Index>
<#Include SYSTEM "newman/Radical.xml"> </Item> </Row>

<Row> <Item>
<Index>RadicalSeries</Index>
<#Include SYSTEM "newman/RadicalSeries.xml"> </Item> </Row>




</Table>

</Chapter>

