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Warfield Invariants of V(RG)/G


Abstract


Let R be a commutativeunitary ring of prime characteristic p and let G be an Abelian group. We calculateonly in terms of R and G (and their sections)Warfield p-invariants of thequotient group V(RG)/G, that is, the group of all normalized units V(RG) in the groupring RG modulo G. This supplies recent results of ours in (Extr. Math., 2005),(Collect. Math., 2008) and (J. Algebra Appl., 2008).

DOI Code: 10.1285/i15900932v29n2p213

Keywords:
Warfield p-invariants; nice subgroups; cardinalities; inequalities; idempotents.

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