Manfred Hartl. 
A univeral coefficient decomposition for subgroups induced by 
submodules of group algebras. 

Abstract : Dimension subgroups and Lie dimension subgroups are known to 
satisfy a `universal coefficient
decomposition', i.e.their value with respect to an arbitrary coefficient 
ring can be described in terms of their values with respect to
the `universal' coefficient rings given by the cyclic groups of infinite 
and prime power order. Here this fact is generalized to much
more general types of induced subgroups, notably covering Fox subgroups 
and relative dimension subgroups with respect to group
algebra filtrations induced by arbitrary N-series, as well as certain 
common generalisations of these which occur in the study of the
former. This result relies on an extension of the principal universal 
coefficient decomposition theorem on polynomial ideals (due to
Passi, Parmenter and Seghal), to all additive subgroups of group rings. 
This is possible by using homological instead of ring
theoretical methods.