Warfield Invariants of ![V(RG)/G](http://212.189.136.205/plugins/generic/latexRender/cache/b2aec94a8e888a02afe808e13eb2f422.png)
Abstract
Let
be a commutativeunitary ring of prime characteristic
and let
be an Abelian group. We calculateonly in terms of
and
(and their sections)Warfield
-invariants of thequotient group
, that is, the group of all normalized units
in the groupring
modulo
. This supplies recent results of ours in (Extr. Math., 2005),(Collect. Math., 2008) and (J. Algebra Appl., 2008).
![R](http://212.189.136.205/plugins/generic/latexRender/cache/e1e1d3d40573127e9ee0480caf1283d6.png)
![p](http://212.189.136.205/plugins/generic/latexRender/cache/83878c91171338902e0fe0fb97a8c47a.png)
![G](http://212.189.136.205/plugins/generic/latexRender/cache/dfcf28d0734569a6a693bc8194de62bf.png)
![R](http://212.189.136.205/plugins/generic/latexRender/cache/e1e1d3d40573127e9ee0480caf1283d6.png)
![G](http://212.189.136.205/plugins/generic/latexRender/cache/dfcf28d0734569a6a693bc8194de62bf.png)
![p](http://212.189.136.205/plugins/generic/latexRender/cache/83878c91171338902e0fe0fb97a8c47a.png)
![V(RG)/G](http://212.189.136.205/plugins/generic/latexRender/cache/b2aec94a8e888a02afe808e13eb2f422.png)
![V(RG)](http://212.189.136.205/plugins/generic/latexRender/cache/679c46dacf870a038af79edd4a4e642b.png)
![RG](http://212.189.136.205/plugins/generic/latexRender/cache/bac953e88f6d79514b0b6fc42eb6f3b7.png)
![G](http://212.189.136.205/plugins/generic/latexRender/cache/dfcf28d0734569a6a693bc8194de62bf.png)
DOI Code:
10.1285/i15900932v29n2p213
Keywords:
Warfield p-invariants; nice subgroups; cardinalities; inequalities; idempotents.
Warfield p-invariants; nice subgroups; cardinalities; inequalities; idempotents.
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