We show that cancellation of free modules holds in the stable class 3 .Z/ over dihedral groups of order 4n. In light of a recent result on realizing k-invariants for these groups, this completes the proof that all dihedral groups satisfy the D(2) property.
We give a full solution in terms of k -invariants of the D.2/-problem for D 4n , assuming that Z OED 4n satisfies torsion-free cancellation.57M05; 55P15
Let $F_m$ be the free group on $m$ generators and let $G$ be a finite
nilpotent group of non square-free order; we show that for each $m\ge 2$ the
integral group ring ${\bf Z}[G\times F_m]$ has infinitely many stably free
modules of rank 1.Comment: 9 pages. The final publication is available at
http://www.springerlink.com doi:10.1007/s00013-012-0432-
In this paper the emerging role of Java in Telecommunications is surveyed. In particular, attention is drawn to the advantages and disadvantages of the language for application and service development. The JINI framework for the construction of robust and self-configuring distributed systems is briefly described. Replication (of processes/data) is a desirable feature of any distributed system, whereby overloaded servers may be replicated elsewhere in the distributed system in order to maintain a given quality of service to clients. Several possible options for a JINI replication service are explored. A replication framework for JINI is described, and the contribution of such a replication service in a telecommunications environment is highlighted.
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