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K-theory of Solvable Groups

K理论与同调 2007-05-23 v1

摘要

We first prove that the Whitehead group of a torsion-free virtually solvable linear group vanishes. Next we make a reduction of the fibered isomorphism conjecture from virtually solvable groups to a class of virtually solvable Q-linear groups. Finally we prove an L-theory analogue for elementary amenable groups.

关键词

引用

@article{arxiv.math/0207138,
  title  = {K-theory of Solvable Groups},
  author = {Tom Farrell and Peter Linnell},
  journal= {arXiv preprint arXiv:math/0207138},
  year   = {2007}
}

备注

27 pages, Proc. London Math. Soc., to appear